Department of Mathematics

   
Home Page of Professor José Antonio Carrillo de la Plata

PREPRINTS

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Highly Cited Researcher 2015

Highly Cited Researcher 2016

 

Journals

  1. J. A. Carrillo, A. Colombi, M. Scianna, Adhesion and volume constraints via nonlocal interactions lead to cell sorting, Preprint.
  2. J. A. Carrillo, F. Hoffmann, E. Mainini, B. Volzone, Ground States in the Diffusion-Dominated Regime, Preprint.
  3. J. A. Carrillo, Y. Huang, M. Schmidtchen, Zoology of a non-local cross-diffusion model for two species, Preprint.
  4. Z. Sun, J. A. Carrillo, C.-W. Shu, A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials, Preprint.
  5. J. A. Carrillo, J. Mateu, M.G. Mora, L. Rondi, L. Scardia, J. Verdera, The ellipse law: Kirchhoff meets dislocations, Preprint.
  6. J. A. Carrillo, B. Düring, D. Matthes, D. S. McCormick, A Lagrangian scheme for the solution of nonlinear diffusion equations using moving simplex meshes, Preprint.
  7. M. Bostan, J. A. Carrillo, Reduced fluid models for self-propelled particles interacting through alignment, Mathematical Models and Methods in the Applied Sciences 27, 1255-1299, 2017.
  8. J. Barré, J. A. Carrillo, P. Degond, D. Peurichard, E. Zatorska, Particle interactions mediated by dynamical networks: assessment of macroscopic descriptions, Preprint.
  9. J. A. Carrillo, Y. Sugiyama, Compactly supported stationary states of the degenerate Keller-Segel system in the diffusion-dominated regime, Preprint.
  10. J. A. Carrillo, K. Grunert, H. Holden, A Lipschitz metric for the Hunter-Saxton equation, Preprint.
  11. J. A. Carrillo, A. Jüngel, M. C. Santos, Displacement convexity for the entropy in semidiscrete nonlinear Fokker-Planck equations, Preprint.
  12. V. Calvez, J. A. Carrillo, F. Hoffmann, Equilibria of homogeneous functionals in the fair-competition regime, Nonlinear Analysis TMA 159, 85-128, 2017.
  13. J. A. Carrillo, Y.-P. Choi, P. B. Mucha, J. Peszek, Sharp conditions to avoid collisions in singular Cucker-Smale interactions, Nonlinear Analysis Series B: Real World Applications 37, 317-328, 2017.
  14. J. A. Carrillo, A. Figalli, F. S. Patacchini, Geometry of minimizers for the interaction energy with mildly repulsive potentials, to appear in Ann. IHP.
  15. J. A. Carrillo, F. S. Patacchini, P. Sternberg, G. Wolansky, Convergence of a particle method for diffusive gradient flows in one dimension, SIAM J. Math. Analysis 48, 3708-3741, 2016.
  16. J. A. Carrillo, H. Ranetbauer, M.-T. Wolfram, Numerical simulation of nonlinear continuity equations by evolving diffeomorphisms, J. Comp. Phys. 327, 186-202, 2016.
  17. J. A. Carrillo, Y.-P. Choi, E. Zatorska, On the pressureless damped Euler-Poisson equations with non-local forces: Critical thresholds and large-time behavior, Mathematical Models and Methods in the Applied Sciences 26, 2311-2340, 2016.
  18. J. A. Carrillo, S. Hittmeir, B. Volzone, Y. Yao, Nonlinear Aggregation-Diffusion Equations: Radial Symmetry and Long Time Asymptotics, Preprint.
  19. J. A. Carrillo, S. Mancini, M. B. Tran, On the exponential convergence rate for a non-gradient Fokker-Planck equation in Computational Neuroscience, JEPE 1, 271-279, 2015.
  20. J. A. Carrillo, Y. Huang, Explicit Equilibrium Solutions For the Aggregation Equation with Power-Law Potentials, Kinetic Rel. Mod. 10, 171-192, 2017.   
  21. J. A. Carrillo, Y.-P. Choi, C. Totzeck, O. Tse, An analytical framework for a consensus-based global optimization method, Preprint.
  22. J. A. Carrillo, E. Feireisl, P. Gwiazda, A. Świerczewska-Gwiazda,Weak solutions for Euler systems with non-local interactions, to appear in J. of the LMS.
  23. J. A. Carrillo, Y. Huang, F. S. Patacchini, G. Wolansky, Numerical Study of a Particle Method for Gradient Flows, Kinetic Rel. Mod. 10, 613-641, 2017.
  24. A. B. T. Barbaro, J. A. Cañizo, J. A. Carrillo, P. Degond, Phase Transitions in a kinetic flocking model of Cucker-Smale type, Multiscale Model. Simul. 14, 1063-1088, 2016.
  25. J. A. Carrillo, Y.-P. Choi, M. Hauray, S. Salem, Mean-field limit for collective behavior models with sharp sensitivity regions, to appear in J. European Math. Soc.
  26. M. Campos-Pinto, J. A. Carrillo, F. Charles, Y.-P. Choi, Convergence of a Linearly Transformed Particle Method for Aggregation Equations, Preprint.
  27. J. A. Cañizo, J. A. Carrillo, P. Laurençot, J. Rosado, The Fokker-Planck equation for bosons in 2D: well-posedness and asymptotic behavior, Nonlinear Analysis: TMA 137, 291-305, 2016.
  28. V. Bonnaillie-Noël, J.A. Carrillo, T. Goudon, G. Pavliotis, Efficient numerical calculation of drift and diffusion coefficients in the diffusion approximation of kinetic equations, IMA Journal of Numerical Analysis 36,1536-1569, 2016.
  29. J. A. Carrillo, S. Martin, M.-T. Wolfram, A local version of the Hughes model for pedestrian flow, Mathematical Models and Methods in the Applied Sciences 26, 671–697, 2016.
  30. J. A. Carrillo, J. L. Vázquez, Some Free Boundary Problems involving Nonlocal Diffusion and Aggregation, Phil. Trans. R. Soc. A 373, 20140275, 2015.
  31. J. A. Carrillo, Y.-P. Choi, E. Tadmor, C. Tan, Critical thresholds in 1D Euler equations with nonlocal forces, Mathematical Models and Methods in the Applied Sciences 26, 185-206, 2016.
  32. J. A. Carrillo, B. Perthame, D. Salort, D. Smets, Qualitative Properties of Solutions for the Noisy Integrate & Fire model in Computational Neuroscience, Nonlinearity 28, 3365-3388, 2015.
  33. J. A. Carrillo, F. James, F. Lagoutière, N. Vauchelet, The Filippov characteristic flow for the aggregation equation with mildly singular potentials, J. Differential Equations 260, 304-338, 2016.
  34. A. Blanchet, J. A. Carrillo, D. Kinderlehrer, M. Kowalczyk, P. Laurençot, S. Lisini, A hybrid variational principle for the Keller-Segel system in R2, M2AN 49, 1553-1576, 2015.
  35. J. A. Carrillo, A. Klar, A. Roth, Single to Double Mill Small Noise Transition via Semi-Lagrangian Finite Volume Methods, Comm. Math. Sci. 14, 1111-1136, 2016.
  36. J. A. Carrillo, Y. Huang, M. C. Santos, J. L. Vázquez, Exponential Convergence Towards Stationary States for the 1D Porous Medium Equation with Fractional Pressure, J. Differential Equations 258, 736--763, 2015.
  37. J. A. Carrillo, R. Eftimie, F. K. O. Hoffmann, Non-local kinetic and macroscopic models for self-organised animal aggregations, Kinetic and Related Models 8, 413-441, 2015.
  38. J. A. Carrillo, M. G. Delgadino, A. Mellet, Regularity of local minimizers of the interaction energy via obstacle problems, Comm. Math. Phys. 343, 747-781, 2016.
  39. J. A. Cañizo, J. A. Carrillo, F. S. Patacchini, Existence of Compactly Supported Global Minimisers for the Interaction Energy, Arch. Rat. Mech. Anal. 217, 1197-1217, 2015.
  40. J. A. Carrillo, D. Slepčev, L. Wu, Nonlocal-interaction equations on uniformly prox-regular sets, Discrete and Continuous Dynamical Systems-A 36, 1209-1247, 2016.
  41. J. A. Carrillo, M. Chipot, Y. Huang, On global minimizers of repulsive-attractive power-law interaction energies, Philosophical Transactions of the Royal Society A 372, 20130399, 2014.
  42. J. A. Carrillo, G. Toscani, Renyi entropy and improved equilibration rates to self-similarity for nonlinear diffusion equations, Nonlinearity 27, 3159--3177, 2014.
  43. J. A. Carrillo, A. Chertock, Y. Huang, A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure, Comm. in Comp. Phys. 17, 233-258, 2015.
  44. J. A. Carrillo, D. Castorina, B. Volzone, Ground States for Diffusion Dominated Free Energies with Logarithmic Interaction, SIAM J. Math. Anal. 47, 1-25, 2015.
  45. J. A. Carrillo, Y.-P. Choi, T. K. Karper, On the analysis of a coupled kinetic-fluid model with local alignment forces, Ann. IHP 33, 273-307, 2016.
  46. G. A. Bonaschi, J. A. Carrillo, M. DiFrancesco, M. A. Peletier, Equivalence of gradient flows and entropy solutions for singular nonlocal interaction equations in 1D, Control, Optimization and Calculus of Variations 21, 414--441, 2015.
  47. J. A. Carrillo, Y. Huang, S. Martin, Nonlinear stability of flock solutions in second-order swarming models, Nonlinear Analysis: Real World Applications 17, 332–343, 2014.
  48. F. Bolley, J. A. Carrillo, Nonlinear diffusion: Geodesic Convexity is equivalent to Wasserstein Contraction, Comm. PDEs 39, 1860--1869, 2014.
  49. J. A. Carrillo, Y. Huang, S. Martin, Explicit Flock Solutions for Quasi-Morse potentials, European Journal of Applied Mathematics 25, 553--578, 2014.
  50. J. A. Carrillo, S. Cordier, G. Deco, S. Mancini, Complexity Reduction of Rate-Equations Models for Two-Choice Decision-Making, PLoS ONE 8(12), e80820, 2013.
  51. J. A. Carrillo, M. DiFrancesco, G. Toscani, Condensation phenomena in nonlinear drift equations, Annali della Scuola Normale Superiore di Pisa XV, 145-171, 2016.
  52. J. A. Carrillo, P. Gwiazda, A. Ulikowska, Splitting-Particle Methods for Structured Population Models: Convergence and Applications, Mathematical Models and Methods in the Applied Sciences 24, 2171, 2014
  53. G. Albi, D. Balagué, J. A. Carrillo, J. von Brecht, Stability Analysis of Flock and Mill rings for 2nd Order Models in Swarming, SIAM J. Appl. Math. 74, 794–818, 2014.
  54. J. A. Carrillo, Y.-P. Choi, S.-Y. Ha, M.-J. Kang, Y. Kim, Contractivity of the Wasserstein metric for the kinetic Kuramoto equation, J. Stat. Phys. 156, 395--415, 2014.
  55. J. A. Carrillo, S. Lisini, E. Mainini, Uniqueness for Keller-Segel-type chemotaxis models, Discrete and Continuous Dynamical Systems-A 34, 1319-1338, 2014.
  56. J.A. Carrillo, V. Caselles, S. Moll, On the relativistic heat equation in one space dimension, Proc. London Math. Soc. 107, 1395-1423, 2013.
  57. D. Balagué, J. A. Carrillo, T. Laurent, G. Raoul, Dimensionality of Local Minimizers of the Interaction Energy, Archive for Rational Mechanics and Analysis 209, 1055--1088, 2013.
  58. D. Balagué, J. A. Carrillo, Y. Yao, Confinement for Repulsive-Attractive Kernels, Discrete and Continuous Dynamical Systems-B 19, 1227–1248, 2014.
  59. J. A. Carrillo, S. Lisini, E. Mainini, Gradient flows for non-smooth interaction potentials, Nonlinear Analysis TMA 100, 122–147, 2014.
  60. L. Almazán, J. A. Carrillo, C. Salueña, V. Garzó, T. Pöschel, Role of kinetic transport coefficients for hydrodynamic simulations of granular flow, New J. Phys. 15, 043044, 2013.
  61. J. A. Carrillo, S. Martin, V. Panferov, A new interaction potential for swarming models, Physica D 260, 112-126, 2013.
  62. M. Bostan, J. A. Carrillo, Asymptotic Fixed-Speed Reduced Dynamics for Kinetic Equations in Swarming, Math. Mod. Meth. in the Appl. Sci. 23, 2353, 2013.
  63. J. A. Carrillo, S. Cordier, S. Mancini, One dimensional Fokker-Planck reduced dynamics of decision making models in Computational Neuroscience, Communications in Mathematical Sciences 11, 523–540, 2013.
  64. J. A. Cañizo, J. A. Carrillo, S. Cuadrado, Measure solutions for some models in population dynamics, Acta Applicandae Mathematicae 123, 141-156, 2013.
  65. J. A. Carrillo, L. C. F. Ferreira, J. C. Precioso, A mass-transportation approach to a one dimensional fluid mechanics model with nonlocal velocity, Advances in Mathematics 231, 306-327, 2012.
  66. J. A. Carrillo, B. Yan, An Asymptotic Preserving Scheme for the Diffusive Limit of Kinetic systems for Chemotaxis, Multiscale Model. Simul. 11, 336–361, 2013.
  67. J. A. Carrillo, S. Hittmeir, A. Jüngel, Cross diffusion and nonlinear diffusion preventing blow up in the Keller-Segel model, Math. Mod. Meth. Appl Sci. 22, 1250041, 2012.
  68. D. Balagué, J. A. Carrillo, T. Laurent, G. Raoul, Nonlocal interactions by repulsive-attractive potentials: radial ins/stability, Physica D 260, 5-25, 2013.
  69. J. A. Carrillo, M. d. M. González, M. P. Gualdani, and M. E. Schonbek, Classical Solutions for a nonlinear Fokker-Planck equation arising in Computational Neuroscience, Comm. in PDEs 38, 385-409, 2013.
  70. J. A. Carrillo, L. Chen, J.-G. Liu, and J. Wang, A note on the subcritical two dimensional Keller-Segel System, Acta Applicandae Mathematicae 119, 43-55, 2012.
  71. J. A. Cañizo, J. A. Carrillo, M. E. Schonbek, Decay rates for a class of diffusive-dominated interaction equations, J. Math. Anal. Appl. 389, 541-557, 2012.
  72. F. Bolley, J. A. Cañizo, J. A. Carrillo, Mean-field limit for the stochastic Vicsek model, Appl. Math. Letters 25, 339-343, 2012.
  73. J. A. Carrillo, R. M. Colombo, P. Gwiazda, A. Ulikowska, Structured populations, cell growth and measure valued balance laws, J. Diff. Eqns. 252, 3245-3277, 2012.
  74. M. J. Cáceres, J. A. Carrillo, B. Perthame, Analysis of Nonlinear Noisy Integrate & Fire Neuron Models: blow-up and steady states, Journal of Mathematical Neuroscience 1, 7, 2011.
  75. F. Bolley, J. A. Cañizo, J. A. Carrillo, Stochastic Mean-Field Limit: Non-Lipschitz Forces & Swarming, Math. Mod. Meth. Appl. Sci. 21, 2179-2210, 2011.
  76. B. Ayuso de Dios, J. A. Carrillo, C.-W. Shu, Discontinuous Galerkin methods for the multi-dimensional Vlasov-Poisson problem, Math. Mod. Meth. Appl Sci. 22, 1250042, 2012.
  77. A. Blanchet, E. A. Carlen, J. A. Carrillo, Functional inequalities, thick tails and asymptotics for the critical mass Patlak-Keller-Segel model, J. Func. Anal. 262, 2142-2230, 2012.
  78. V. Calvez, J. A. Carrillo, Refined asymptotics for the subcritical Keller-Segel system and related functional inequalities, Proc. AMS. 140, 3515-3530, 2012.
  79. J. A. Carrillo, T. Karper, K. Trivisa, On the dynamics of a fluid-particle interaction model: The Bubbling Regime, Nonlinear Analysis TMA 74, 2778-2801, 2011.
  80. E. A. Carlen, J. A. Carrillo, M. Loss, Hardy-Littlewood-Sobolev inequalities via fast diffusion flows, Proc. Nat. Acad. USA 107 (46), 19696-19701, 2010.
  81. J. A. Carrillo, R. Duan, A. Moussa, Global Classical Solutions Close to Equilibrium to the Vlasov-Euler-Fokker-Planck System, Kinetic and Related Models 4, 227-258, 2011.
  82. J. A. Carrillo, M. J. Cáceres, L. Tao, A numerical solver for a nonlinear Fokker-Planck equation representation of neuronal network dynamics, J. Comp. Phys. 230, 1084-1099, 2011.
  83. J. A. Carrillo, A. Klar, S. Martin, S. Tiwari, Self-propelled interacting particle systems with roosting force, Math. Mod. Meth. Appl. Sci. 20, 1533-1552, 2010.
  84. J. A. Carrillo, S. Cordier, S. Mancini, A decision-making Fokker-Planck model in Computational Neuroscience, J. Math. Biology 63, 801-830, 2011.
  85. B. Ayuso, J. A. Carrillo, C.-W. Shu, Discontinuous Galerkin Methods for the one-dimensional Vlasov-Poisson System, Kinetic and Related Models 4, 955 - 989, 2011.
  86. M. Burger, J. A. Carrillo, M.-T. Wolfram, A Mixed Finite Element Method for Nonlinear Diffusion Equations, Kinetic and Related Models 3, 59-83, 2010.
  87. J. A. Carrillo, S. Lisini, On the asymptotic behavior of the gradient flow of a polyconvex functional, Contemporary Mathematics series 526, 37-51, 2010.
  88. J. A. Cañizo, J. A. Carrillo, J. Rosado, A well-posedness theory in measures for some kinetic models of collective motion, Math. Mod. Meth. Appl. Sci. 21, 515-539, 2011.
  89. M. Bisi, J. A. Carrillo, G. Spiga, Some alternative methods for hydrodynamic closures to dissipative kinetic models, Eur. Phys. J. Special Topics 179, 165-178, 2009.
  90. A. Arnold, J. A. Carrillo, C. Manzini, Refined long-time asymptotics for some polymeric fluid flow models, Comm. Math. Sci. 8, 763-782, 2010.
  91. J. A. Carrillo, M. Fornasier, J. Rosado, G. Toscani, Asymptotic Flocking Dynamics for the kinetic Cucker-Smale model, SIAM J. Math. Anal. 42, 218-236, 2010.
  92. J. A. Carrillo, M. DiFrancesco, A. Figalli, T. Laurent, D. Slepcev, Confinement in nonlocal interaction equations, Nonlinear Analysis TMA 75, 550-558, 2012.
  93. J. A. Carrillo, M. DiFrancesco, A. Figalli, T. Laurent, D. Slepcev, Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations, Duke Math. J. 156, 229-271, 2011.
  94. N. Ben Abdallah, M. J. Cáceres, J. A. Carrillo, F. Vecil, A deterministic solver for a hybrid quantum-classical transport model in nanoMOSFETs, J. Comp. Phys. 228, 6553-6571, 2009.
  95. M. Agueh, A. Blanchet, J. A. Carrillo, Large time asymptotics of the doubly nonlinear equation in the non-displacement convexity regime, J. Evol. Equations 10, 59-84, 2010.
  96. J. A. Carrillo, S. Lisini, G. Savare, D. Slepcev, Nonlinear mobility continuity equations and generalized displacement convexity, J. Functional Anal. 258, 1273-1309, 2010.
  97. J. A. Carrillo, J. S. Moll, Numerical simulation of diffusive and aggregation phenomena in nonlinear continuity equations by evolving diffeomorphisms, SIAM J. Sci. Comput. 31, 4305-4329, 2009.
  98. J. A. Carrillo, L. Desvillettes, K. Fellner, Rigorous derivation of a nonlinear diffusion equation as fast-reaction limit of a continuous coagulation-fragmentation model with diffusion, Comm. in PDEs 34, 1338-1351, 2009.
  99. J. A. Carrillo, D. Slepcev, Example of a first order displacement convex functional, Calculus of Variations and PDES 36, 547-564, 2009.
  100. J. A. Carrillo, M. R. D'Orsogna, V. Panferov, Double milling in self-propelled swarms from kinetic theory, Kinetic and Related Models 2, 363-378, 2009.
  101. A. L. Bertozzi, J. A. Carrillo, T. Laurent, Blowup in multidimensional aggregation equations with mildly singular interaction kernels, Nonlinearity 22, 683-710, 2009.
  102. J. A. Carrillo, L. Ni, Sharp logarithmic Sobolev inequalities on gradient solitons and applications, Communications in Analysis and Geometry 17, 721-753, 2009.
  103. M. Bisi, J. A. Carrillo, B. Lods, Equilibrium solution to the inelastic Boltzmann equation driven by a particles thermal bath, J. Stat. Phys. 133, 841- 870, 2008.
  104. E. A. Carlen, J. A. Carrillo, M. C. Carvalho, Strong convergence towards homogeneous cooling states for dissipative Maxwell models, Annales de l'IHP-ANL 26, 1675-1700, 2009.
  105. J. A. Carrillo, P. Laurençot, J. Rosado, Fermi-Dirac-Fokker-Planck Equation: Well-posedness & Long-time Asymptotics, J. Differential Equations 247, 2209-2234, 2009.
  106. A. Blanchet, J. A. Carrillo, P. Laurençot, Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions, Calculus of Variations and PDEs 35, 133-168, 2009.
  107. J.A. Carrillo, T. Goudon, P. Lafitte, Simulation of Fluid & Particles Flows: Asymptotic Preserving Schemes for Bubbling and Flowing Regimes, J. Comp. Phys. 227, 7929-7951, 2008.
  108. Y. Hyon, J. A. Carrillo, Q. Du, C. Liu, A Macroscopic Closure Approximation to the Micro-Macro FENE Models with Maximum Entropy Principle for Polymeric Materials, Kinetic and Related Models 2, 171-184, 2008.
  109. J.A. Carrillo, L. Desvillettes, K. Fellner, Fast-Reaction Limit for the Inhomogeneous Aizenman-Bak Model, Kinetic and Related Models 1, 127-137, 2008.
  110. M. Bostan, J. A. Carrillo, Global solutions for the one dimensional Water Bag model, Comm. Math. Sci 7, 129-141, 2009.
  111. J. A. Carrillo, M. P. Gualdani, A. Jüngel, Convergence of an entropic semi-discretization for nonlinear Fokker-Planck equations in Rd, Pub. Mat. 52, 413-433, 2008.
  112. J.A. Carrillo, S. Cordier, G. Toscani, Over-populated Tails for conservative-in-the-mean Inelastic Maxwell Models, Discrete and Continuous Dynamical Systems A 24, 59--81, 2009.
  113. A. Arnold, J. A. Carrillo, C. Klapproth, Improved entropy decay estimates for the heat equation, J. Mathematical Analysis and Applications 343, 190-206, 2008.
  114. J.A. Carrillo, M. Di Francesco, C. Lattanzio, Contractivity and asymptotics in Wasserstein metrics for viscous nonlinear scalar conservation laws, Bollettino UMI 10-B, 277-292, 2007.
  115. A. Blanchet, V. Calvez, J. A. Carrillo, Convergence of the mass-transport steepest descent scheme for the sub-critical Patlak-Keller-Segel model, SIAM J. Numer. Anal. 46, 691--721, 2008.
  116. J. A. Carrillo, G. Toscani, Contractive Probability Metrics and Asymptotic Behavior of Dissipative Kinetic Equations, Notes of the 2006 Porto Ercole Summer School, Rivista Matemàtica di Parma 6, 75-198, 2007.
  117. A. Blanchet, J. A. Carrillo, N. Masmoudi, Infinite Time Aggregation for the Critical PKS model in R2, Comm. Pure and Applied Mathematics 61, 1449-1481, 2008.
  118. J.A. Carrillo, T. Goudon, P. Lafitte, F. Vecil, Numerical Schemes of Diffusion Asymptotics and Moment Closures for Kinetic Equations, J. Sci. Comp. 35, 113-149, 2008.
  119. J. A. Carrillo, T. Pöschel, C. Salueña, Granular Hydrodynamics and Pattern Formation in Vertically Oscillated Granular Disks Layers, J. Fluid Mechanics 597, 119-144, 2008.
  120. J.A. Carrillo, A. Majorana, F. Vecil, A Semi-lagrangian deterministic solver for the semiconductor Boltzmann-Poisson system, Commun. Comput. Phys. 2, 1027-1054, 2007.
  121. J.A. Carrillo, L. Desvillettes, K. Fellner, Exponential Decay Towards Equilibrium for the Inhomogeneous Aizenman-Bak Model, Comm. Math. Phys. 278, 433-451, 2008.
  122. J.A. Carrillo, L.C.F. Ferreira, Asymptotic Behavior for the Sub-critical Dissipative Quasi-Geostrophic Equations, Nonlinearity 21, 1001-1018, 2008.
  123. J.A. Carrillo, J. L. Vázquez, Asymptotic Complexity in Filtration Equations, Journal of Evolution Equations 7, 471-495, 2007.
  124. F. Bolley, J.A. Carrillo, Tanaka Theorem for Inelastic Maxwell Models, Comm. Math. Phys. 276, 287-314, 2007.
  125. J.A. Carrillo, J. Rosado, F. Salvarani, 1D Nonlinear Fokker-Planck equations for Fermions and Bosons, Applied Mathematics Letters 21, 148-154, 2008.
  126. J.A. Carrillo, S. Cuadrado, B. Perthame, Adaptive dynamics via Hamilton-Jacobi approach and entropy methods for a juvenile-adult model, Mathematical Biosciences 205, 137-161, 2007.
  127. J.A. Carrillo, L.C.F. Ferreira, Convergence towards Self-similar Asymptotic Behavior for the Dissipative Quasi-Geostrophic Equations, Banach Center Publ. 74, 95-115, 2006.
  128. J.A. Carrillo, M. Di Francesco, C. Lattanzio, Contractivity of Wasserstein metrics and asymptotic profiles for scalar conservation laws, J. Diff. Equations 231, 425-458, 2006.
  129. J.A. Carrillo, F. Vecil, Non oscillatory interpolation methods applied to Vlasov-based models, SIAM Journal of Scientific Computing 29, 1179-1206, 2007.
  130. M. Bisi, J.A. Carrillo, G. Toscani, Decay rates in probability metrics towards homogeneous cooling states for the inelastic Maxwell model, J. Stat. Phys. 124, 625-653, 2006.
  131. J.A. Carrillo, J. Dolbeault, I. Gentil, A. Jüngel, Entropy-Energy inequalities and improved convergence rates for nonlinear parabolic equations, Discrete Cont. Dynamical Systems B 6, 1027-1050, 2006.
  132. J.A. Carrillo, M. DiFrancesco, G. Toscani, Strict Contractivity of the 2-Wasserstein distance for the porous medium equation by mass-centering, Proc. Amer. Math. Soc. 135, 353-363, 2007.
  133. V. Calvez, J.A. Carrillo, Volume effects in the Keller-Segel model: energy estimates preventing blow-up, Journal Mathématiques Pures et Appliquées 86, 155-175, 2006.
  134. J.A. Carrillo, M. DiFrancesco, M. P. Gualdani, Semidiscretization and long-time asymptotics of nonlinear diffusion equations, Comm. Math. Sci. 1, Supplemental issue, 21-53, 2007.
  135. J. A. Carrillo, I. Gamba, A. Majorana, C. W. Shu, 2D semiconductor device simulations by WENO-Boltzmann schemes: efficiency, boundary conditions and comparison to Monte Carlo methods, Journal of Computational Physics 214, 55-80, 2006.
  136. J.A. Carrillo, T. Goudon, Stability and Asymptotic Analysis of a Fluid-Particle Interaction Model, Comm. PDE 31, 1349 - 1379, 2006.
  137. J.A. Carrillo, L.C.F. Ferreira, Self-similar solutions and large time asymptotics for the dissipative quasi-geostrophic equations, Monatshefte für Mathematik 151, 111-142, 2007.
  138. J.A. Carrillo, S. Labrunie, Global solutions for the one-dimensional Vlasov-Maxwell system for Laser-plasma interaction, Math. Mod. Meth. Appl. Sci. 16, 19-57, 2006.
  139. J.A. Carrillo, M. DiFrancesco, G. Toscani, Intermediate asymptotics beyond homogeneity and self-similarity: long time behavior for u_t=\Delta \phi(u), Archive for Rational Mechanics and Analysis 180, 127-149, 2006.
  140. M. Bisi, J.A. Carrillo, G. Toscani, Contractive Metrics for a Boltzmann equation for granular gases: Diffusive equilibria, J. Stat. Phys. 118, 301-331, 2005.
  141. M.J. Cáceres, J.A. Carrillo, A. Majorana, Deterministic simulation of the Boltzmann-Poisson system in GaAs-based semiconductors, SIAM Journal of Scientific Computing 27, 1981-2009, 2006.
  142. J.A. Carrillo, EDPs de difusión y transporte óptimo de masa, Bol. Soc. Mat. Apl. 28, 129-154, 2004.
  143. J.A. Carrillo, R.J. McCann, C. Villani, Contractions in the 2-Wasserstein length space and thermalization of granular media, Archive for Rational Mechanics and Analysis 179, 217-263, 2006.
  144. A. Jungel, A. Arnold, J.A. Carrillo, L. Desvillettes, J. Dolbeault, C. Villani, G. Toscani, C. Lederman, P.A. Markowich, Entropies and equilibria of many-particle systems: An essay on recent research, Monat. Mathematik. 142, 35-43, 2004.
  145. J.A. Carrillo, K. Fellner, Long-time Asymptotics via Entropy Methods for Diffusion Dominated Equations, Asymptotic Analysis 42, 29-54, 2005.
  146. S. Labrunie, J.A. Carrillo, P. Bertrand, Numerical study on hydrodynamic and quasi-neutral approximations for collisionless two-species plasmas, Journal of Computational Physics 200, 267-298, 2004.
  147. J.A. Carrillo, M. P. Gualdani, G. Toscani, Finite speed of propagation in porous media by mass transportation methods, C. R. Acad. Sci. Paris Ser. I 338, 815-818, 2004.
  148. J. M. Mantas-Ruiz, L. Pareschi, J. A. Carrillo, J. Ortega-Lopera, Parallel Integration of Hydrodynamical Approximations of the Boltzmann Equation for rarefied gases on a Cluster of Computers, J. of Computational Methods in Science and Engineering 4, 33-41, 2004.
  149. M.J. Caceres, J.A. Carrillo, G. Toscani, Long-time behavior for a nonlinear fourth order parabolic equation, Trans. Amer. Math. Soc. 357, 1161-1175, 2005.
  150. J.A. Carrillo, J. L. Vázquez, Fine asymptotics for fast diffusion equations, Comm. in PDE. 28, 1023-1056, 2003.
  151. M.J. Caceres, J.A. Carrillo, P. Degond, The Child-Langmuir limit for semiconductors: a numerical validation, Mathematical Modelling and Numerical Analysis 36, 1161-1176, 2002.
  152. C. Sparber, J. A. Carrillo, J. Dolbeault, P.A. Markowich, On the Long Time Behavior of the Quantum Fokker-Planck equation, Monatshefte Mathematik 141, 237-257, 2004.
  153. J. A. Carrillo, I. Gamba, A. Majorana, C. W. Shu, A WENO-solver for the transients of Boltzmann-Poisson for semiconductor devices. Performance and comparisons with Monte Carlo methods, Journal of Computational Physics 184, 498-525, 2003.
  154. A. Arnold, J. A. Carrillo, E. Dhamo, On the periodic Wigner-Poisson-Fokker-Planck system, Journal of Mathematical Analysis and Applications 275, 263-276, 2002.
  155. A. Arnold, J. A. Carrillo, M. Tidriri, Large-time behavior of discrete kinetic equations with non-symmetric interactions, Mathematical Models and Methods in the Applied Sciences 12, 1555-1564, 2002.
  156. M.J. Cáceres, J.A. Carrillo, T. Goudon, Equilibration rate for the linear inhomogeneous relaxation-time Boltzmann equation for charged particles, Comm. in PDE. 28, 969-989, 2003.
  157. M.J. Caceres, J.A. Carrillo, J. Dolbeault, Nonlinear stability in Lp for solutions of the Vlasov-Poisson system for charged particles, SIAM J. Math. Anal. 34, 478-494, 2002.
  158. J.A. Carrillo, T. Goudon, A numerical study on large-time asymptotics of the Lifshitz-Slyozov system, Journal of Scientific Computing 20, 69-113, 2004.
  159. J.A. Carrillo, A. Jungel, S. Tang, Positive Entropic Schemes for a Nonlinear Fourth-order Parabolic Equation, Discrete and Continuous Dynamical Systems B 3, 1-20, 2003.
  160. J.A. Carrillo, R.J. McCann, C. Villani, Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates, Revista Matemática Iberoamericana 19, 1-48, 2003.
  161. J. A. Carrillo, C. Lederman, P.A. Markowich, G. Toscani, Poincaré Inequalities for Linearization of Very Fast Diffusion Equations, Nonlinearity 15, 565-580, 2002.
  162. J. A. Carrillo, G. Toscani, Intermediate asymptotics for strong solutions of the thin film equation, Comm. Math. Phys. 225, 551-571, 2002.
  163. J. M. Mantas-Ruiz, J. Ortega-Lopera, J. A. Carrillo, Component-based derivation of a parallel stiff ODE solver implemented in a cluster of computers, International Journal of Paralell Programing,  30, 99-148, 2002.
  164. J. A. Carrillo, C. Cercignani, I. Gamba, Steady states of a Boltzmann equation for driven granular media, Phys. Rev. E., 62, 7700-7707, 2000.
  165. J. A. Carrillo, A. Jungel, P.A. Markowich, G. Toscani, A.Unterreiter, Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities, Monatshefte fur Mathematik, 133, 1-82, 2001.
  166. J. A. Carrillo, I. Gamba, C. W. Shu, Computational macroscopic approximations to the 1-D relaxation-time kinetic system for semiconductors, Physica D, 146, 289-306, 2000.
  167. A. Arnold, J. A. Carrillo, I. Gamba, C. Shu, Low and High Field Scaling Limits for the Vlasov- and Wigner-Poisson-Fokker-Planck Systems, Transp. Theory Stat. Phys., 30, 121-153, 2001.
  168. A. V. Bobylev, J. A. Carrillo, I. Gamba, On some properties of kinetic and hydrodynamic equations for inelastic interactions, J. Stat. Phys., 98, 743-773, 2000.
  169. J. A. Carrillo, G. Toscani, Asymptotic L^1-decay of solutions of the porous medium equation to self-similarity, Indiana University Mathematics Journal, 49,  113-141, 2000.
  170. J. A. Carrillo, J. Soler, On the evolution of an angle in a vortex patch, J. Nonlinear Sci., 10, 23-47, 2000.
  171. D. Benedetto, E. Caglioti, J. A. Carrillo, M. Pulvirenti, A non-maxwellian steady distribution for one-dimensional granular media, J. Stat. Phys., 91, 979-990, 1998.
  172. J. A. Carrillo, G. Toscani, Exponential convergence toward equilibrium for homogeneous Fokker-Planck-type equations, Math. Meth. Appl. Sci., 21, 1269-1286, 1998.
  173. J.A. Carrillo, Global weak solutions for the initial-boundary value problems to the Vlasov-Poisson-Fokker-Planck system, Math. Meth. Appl. Sci., 21, 907-938, 1998.
  174. J.A. Carrillo, On a non-local elliptic equation with decreasing nonlinearity arising in plasma physics, Nonlinear Analysis 32, 97-115, 1998.
  175. J.A. Carrillo, J. Soler, On functional solutions for the three dimensional kinetic equations of Vlasov-type with bounded measures as initial data, Nonlinear Analysis 32, 235-259, 1998.
  176. J.A. Carrillo, J. Soler, Functional solutions for the Vlasov-Poisson system, Appl. Math. Lett. 10, 45-50, 1997.
  177. J.A. Carrillo, J. Soler, On the Vlasov-Poisson-Fokker-Planck equations with measures in Morrey spaces as initial data, J. Math. Anal. Appl. 207, 475-495, 1997.
  178. L.L. Bonilla, J.A. Carrillo, J. Soler, Asymptotic behaviour of the initial boundary value problem for the three-dimensional Vlasov-Poisson-Fokker-Planck system, SIAM J. Appl. Math. 57, 1343-1372, 1997.
  179. L.L. Bonilla, J.A. Carrillo, J. Soler, An H-theorem for electrostatic and self-gravitating Vlasov-Poisson- Fokker-Planck systems, Physics Letters A 212, 55-59, 1996.
  180. J.A. Carrillo, J. Soler, J.L. Vázquez, Asymptotic behaviour and selfsimilarity for the three dimensional Vlasov-Poisson-Fokker-Planck system, J. Functional Analysis 141, 99-132, 1996.
  181. J.A. Carrillo, J. Soler, On the initial value problem for the Vlasov-Poisson- Fokker-Planck system with initial data in Lp-spaces, Math. Meth. Appl. Sci. 18, 825-839, 1995.
  182. J.A. Carrillo, J. Soler, J.L. Vázquez, Asymptotic behaviour for the frictionless Vlasov-Poisson-Fokker-Planck system, C.R. Acad. Sci. Paris 321, 1195-1200, 1995.

Refereed Proceedings and Book Chapters

  1. V. Calvez, J. A. Carrillo, F. Hoffmann, the geometry of diffusing and self-attracting particles in a one-dimensional fair-competition regime, to appear in Springer Lecture Notes CIME Courses.
  2. J. A. Carrillo, Y.-P. Choi, S. Pérez, A review on attractive-repulsive hydrodynamics for consensus in collective behavior, in N. Bellomo, P. Degond, and E. Tadmor (Eds.), Active Particles Vol.I: Advances in Theory, Models, and Applications, Series: Modelling and Simulation in Science and Technology, Birkhäuser Basel, (2017).
  3. M. Pájaro, A. A. Alonso, J. A. Carrillo, C. Vázquez, Stability of stochastic gene regulatory networks using entropy methods, 2th IFAC Workshop on Thermodynamic Foundations for a Mathematical Systems Theory TFMST 2016 — Vigo, Spain, 28—30 September 2016, IFAC-PapersOnLine 49, 1–5, 2016.
  4. J. A. Carrillo, Y.-P. Choi, M. Hauray, Local well-posedness of the generalized Cucker-Smale model with singular kernels, ESAIM: Proceedings and Surveys 47, 17-35, 2014.
  5. T. Kolokolnikov, J. A. Carrillo, A. Bertozzi, R. Fetecau, M. Lewis, Emergent behaviour in multi-particle systems with non-local interactions, Phys. D 260, 1-4, 2013.
  6. J. A. Carrillo, Y.-P. Choi, M. Hauray, The derivation of Swarming models: Mean-Field Limit and Wasserstein distances, Collective Dynamics from Bacteria to Crowds: An Excursion Through Modeling, Analysis and Simulation Series, CISM International Centre for Mechanical Sciences, Vol. 553, 1-46, 2014.
  7. L. Almazán, C. Salueña, V. Garzó, J. A. Carrillo, T. Pöschel, Hydrodynamics at the Navier-Stokes level applied to fast, transient, supersonic granular flows, AIP Conf. Proc. 1501, 993-1000, 2012.
  8. D. Balagué, J. A. Carrillo, Aggregation equation with growing at infinity attractive-repulsive potential, Proceedings of the 13th International Conference on Hyperbolic Problems, Series in Contemporary Applied Mathematics CAM 17, Higher Education Press, Volume 1, 136-147, 2012.
  9. J. A. Cañizo, J. A. Carrillo, J. Rosado, Collective Behavior of Animals: Swarming and Complex Patterns, Arbor 186, 1035-1049, 2010.
  10. J. A. Carrillo, M. Fornasier, G. Toscani, F. Vecil, Particle, Kinetic, and Hydrodynamic Models of Swarming, in Naldi, G., Pareschi, L., Toscani, G. (eds.) Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences, Series: Modelling and Simulation in Science and Technology, Birkhauser, (2010), 297-336.
  11. J. A. Carrillo, J. Rosado, Uniqueness of Bounded Solutions to Aggregation Equations by Optimal Transport Methods, Proceedings of the 5th European Congress of Mathematicians, 3--16, Eur. Math. Soc., Zurich, 2010.
  12. M.J. Cáceres, J. A. Carrillo, I. Gamba, A. Majorana, C. W. Shu, DSMC versus WENO-BTE: A double gate MOSFET example, Journal of Computational Electronics 5, 471-474, 2006.
  13. M.J. Cáceres, J. A. Carrillo, I. Gamba, A. Majorana, C. W. Shu, Deterministic kinetic solvers for charged particle transport in semiconductor devices, in Cercignani, C., Gabetta, E. (eds.) Transport Phenomena and Kinetic Theory: Applications to Gases, Semiconductors, Photons and Biological Systems, Series: Modelling and Simulation in Science and Technology, Birkhäuser, 151-171.
  14. J. M. Mantas, P. González, J. A. Carrillo, Parallelization of Implicit-Explicit Runge-Kutta Methods for Cluster of PCs, Proceedings of the Euro-Par 2005 Parallel Processing: 11th International Euro-Par Conference, Editors: José C. Cunha, Pedro D. Medeiros, pp 815-825, Lecture Notes in Computer Science 3648, Springer-Verlag 2005.
  15. C. Salueña, J. A. Carrillo, Numerical simulation of hydrodynamic equations for granular media, Powders & Grains 2005: Garcia-Rojo, Hermann and McNamara eds. pp 481-484. A.A. Balkema, London (2005)
  16. J. A. Carrillo, C. Salueña, Modelling of Shock Waves and Clustering in Hydrodynamic Simulations of Granular Gases, Modelling and Numerics of Kinetic Dissipative Systems, 175-189, Nova Science Publishers NY, 2006.
  17. P. González, A. Godoy, F. Gámiz, J. A. Carrillo, Accurate Deterministic Numerical Simulation of p-n Junctions, Journal of Computational Electronics 3, 235-238, 2004.
  18. J. M. Mantas, J. A. Carrillo, A. Majorana, Parallelization of WENO-Boltzmann schemes for kinetic descriptions of 2D semiconductor devices, in Anile, A.M., Ali, G.; Mascali, G. (eds.) Scientific Computing in Electrical Engineering, Series: Mathematics in Industry Subseries: The European Consortium for Mathematics in Industry , Vol. 9 Springer, Berlin, (2006), 357-362.
  19. P. González, J. A. Carrillo, F. Gámiz, Deterministic Numerical Simulation of 1d kinetic descriptions of Bipolar Electron Devices, in Anile, A.M., Ali, G.; Mascali, G. (eds.) Scientific Computing in Electrical Engineering, Series: Mathematics in Industry Subseries: The European Consortium for Mathematics in Industry , Vol. 9 Springer, Berlin, (2006), 339-344.
  20. J.A. Carrillo, G. Toscani, Wasserstein metric and large--time asymptotics of nonlinear diffusion equations, New Trends in Mathematical Physics, (In Honour of the Salvatore Rionero 70th Birthday), 234-244, 2005.
  21. J. A. Carrillo, I. M. Gamba, A. Majorana, C.W. Shu,  A direct solver for 2D non-stationary Boltzmann-Poisson Systems for Semiconductor Devices: A MESFET simulation by WENO-Boltzmann schemes, Journal of Computational Electronics 2, 375-380, 2003.
  22. J. A. Carrillo, I. M. Gamba, A. Majorana, C.W. Shu,  A WENO-solver for the 1D non-stationary Boltzmann-Poisson system for semiconductor devices, Journal of Computational Electronics 1, 365-370, 2002.
  23. J. A. Carrillo, I. M. Gamba, O. Muscato, C.W.Shu, Comparison of Monte Carlo and deterministic simulations of a silicon diode, IMA Volume Series 135, 75-84, 2003.
  24. A. M. Anile, J.A. Carrillo, I. M. Gamba, C.W. Shu, Approximation of the BTE by a relaxation-time operator: simulations for a 50nm-channel Si diode, VLSI design Journal 13, 349-354, 2001.
  25. J. A. Carrillo, P.A. Markowich, A.Unterreiter, Large-Time Asymptotics of Porous-Medium Type Equations, Gakuto International Series Mathematical Sciences and Applications 13, 24-36, 2000.
  26. J. A. Carrillo, On a 1-D granular media immersed in a fluid, Fields Institute Communications, 27, 43-56, 2000.
  27. J. A. Carrillo, J. Soler, On the evolution of a singular vortex patch in a two-dimensional incompressible fluid flow, Computer Physics Communications, 121-122, 244-250, 1999.
  28. L.L. Bonilla, J.A. Carrillo, J. Soler, Asymptotic behavior of the Vlasov-Poisson-Fokker-Planck system in bounded domains, Z. Angew. Math. Mech. 76, 485-486, 1996.
  29. J.A. Carrillo, J. Soler, Global existence of functional solutions for the Vlasov-Poisson- Fokker-Planck system in 3-D with bounded measures as initial data, Pitman Research Notes in Mathematics, 326, 1994.

Editorial Work

  1. Recent Trends in Partial Differential Equations, UIMP-RSME Santaló Summer School, UIMP, Santander, Spain, J.L. Vázquez, X. Cabré, J.A. Carrillo eds., Contemporary Mathematics 409, AMS, 2006.