Llicenciatura de Matemàtiques

PREPRINTS

OLD PREPRINTS

Journals

1. J. A. Carrillo, A. Klar, S. Martin, S. Tiwari, Self-propelled interacting particle systems with roosting force, Preprint UAB.
2. J. A. Carrillo, S. Cordier, S. Mancini, A decision-making Fokker-Planck model in Computational Neuroscience, Preprint UAB.
3. B. Ayuso, J. A. Carrillo, C.-W. Shu, Discontinuous Galerkin Methods for the one-dimensional Vlasov-Poisson System, Preprint UAB.
4. 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.
5. J. A. Carrillo, S. Lisini, On the asymptotic behavior of the gradient flow of a polyconvex functional, to appear in the Contemporary Mathematics series of the Amer. Math. Soc., 2010, (editors H. Holden and K.H. Karlsen)..
6. J. A. Cañizo, J. A. Carrillo, J. Rosado, A well-posedness theory in measures for some kinetic models of collective motion, Preprint UAB.
7. M. Bisi, J. A. Carrillo, G. Spiga, Some alternative methods for hydrodynamic closures to dissipative kinetic models, Preprint UAB.
8. A. Arnold, J. A. Carrillo, C. Manzini, Refined long-time asymptotics for some polymeric fluid flow models, to appear in Comm. Math. Sci.
9. 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.
10. J. A. Carrillo, M. DiFrancesco, A. Figalli, T. Laurent, D. Slepcev, Global-in-time weak measure solutions, finite-time aggregation and confinement for nonlocal interaction equations, Preprint UAB.
11. N. Ben Abdallah, M. J. Caceres, J. A. Carrillo, F. Vecil, A deterministic solver for a hybrid quantum-classical transport model in nanoMOSFETs, J. Comp. Phys. 228, 6553-6571, 2009.
12. M. Agueh, A. Blanchet, J. A. Carrillo, Large time asymptotics of the doubly nonlinear equation in the non-displacement convexity regime, to appear in J. Evol. Equations.
13. J. A. Carrillo, S. Lisini, G. Savare, D. Slepcev, Nonlinear mobility continuity equations and generalized displacement convexity, to appear in J. Functional Anal.
14. 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.
15. 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.
16. J. A. Carrillo, D. Slepcev, Example of a first order displacement convex functional, Calculus of Variations and PDES 36, 547-564, 2009.
17. 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.
18. A. L. Bertozzi, J. A. Carrillo, T. Laurent, Blowup in multidimensional aggregation equations with mildly singular interaction kernels, Nonlinearity 22, 683-710, 2009.
19. J. A. Carrillo, L. Ni, Sharp logarithmic Sobolev inequalities on gradient solitons and applications, to appear in Communications in Analysis and Geometry.
20. 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.
21. 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.
22. J. A. Carrillo, P. Laurençot, J. Rosado, Fermi-Dirac-Fokker-Planck Equation: Well-posedness & Long-time Asymptotics, J. Differential Equations 247, 2209-2234, 2009.
23. 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.
24. 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.
25. 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.
26. J.A. Carrillo, L. Desvillettes, K. Fellner, Fast-Reaction Limit for the Inhomogeneous Aizenman-Bak Model, Kinetic and Related Models 1, 127-137, 2008.
27. M. Bostan, J. A. Carrillo, Global solutions for the one dimensional Water Bag model, Comm. Math. Sci 7, 129-141, 2009.
28. 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.
29. J.A. Carrillo, S. Cordier, G. Toscani, Over-populated Tails for conservative-in-the-mean Inelastic Maxwell Models, to appear in Discrete and Continuous Dynamical Systems A 24, 59--81, 2009.
30. A. Arnold, J. A. Carrillo, C. Klapproth, Improved entropy decay estimates for the heat equation, J. Mathematical Analysis and Applications 343, 190-206, 2008.
31. 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.
32. 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.
33. 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.
34. 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.
35. 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.
36. 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.
37. 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.
38. J.A. Carrillo, L. Desvillettes, K. Fellner, Exponential Decay Towards Equilibrium for the Inhomogeneous Aizenman-Bak Model, Comm. Math. Phys. 278, 433-451, 2008.
39. J.A. Carrillo, L.C.F. Ferreira, Asymptotic Behavior for the Sub-critical Dissipative Quasi-Geostrophic Equations, Nonlinearity 21, 1001-1018, 2008.
40. J.A. Carrillo, J. L. Vázquez, Asymptotic Complexity in Filtration Equations, Journal of Evolution Equations 7, 471-495, 2007.
41. F. Bolley, J.A. Carrillo, Tanaka Theorem for Inelastic Maxwell Models, Comm. Math. Phys. 276, 287-314, 2007.
42. J.A. Carrillo, J. Rosado, F. Salvarani, 1D Nonlinear Fokker-Planck equations for Fermions and Bosons, Applied Mathematics Letters 21, 148-154, 2008.
43. 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.
44. 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.
45. 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.
46. J.A. Carrillo, F. Vecil, Non oscillatory interpolation methods applied to Vlasov-based models, SIAM Journal of Scientific Computing 29, 1179-1206, 2007.
47. 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.
48. 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. Erratum
49. 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.
50. 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.
51. 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.
52. 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.
53. J.A. Carrillo, T. Goudon, Stability and Asymptotic Analysis of a Fluid-Particle Interaction Model, Comm. PDE 31, 1349 - 1379, 2006.
54. 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.
55. 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. Erratum
56. 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.
57. 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.
58. 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.
59. J.A. Carrillo, EDPs de difusión y transporte óptimo de masa, Bol. Soc. Mat. Apl. 28, 129-154, 2004.
60. 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.
61. 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.
62. J.A. Carrillo, K. Fellner, Long-time Asymptotics via Entropy Methods for Diffusion Dominated Equations, Asymptotic Analysis 42, 29-54, 2005.
63. 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.
64. 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.
65. 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.
66. 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.
67. J.A. Carrillo, J. L. Vázquez, Fine asymptotics for fast diffusion equations, Comm. in PDE. 28, 1023-1056, 2003.
68. 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.
69. 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.
70. 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.
71. 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.
72. 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.
73. 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.
74. 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.
75. 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.
76. 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.
77. 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.
78. J. A. Carrillo, C. Lederman, P.A. Markowich, G. Toscani, Poincaré Inequalities for Linearization of Very Fast Diffusion Equations, Nonlinearity 15, 565-580, 2002.
79. J. A. Carrillo, G. Toscani, Intermediate asymptotics for strong solutions of the thin film equation, Comm. Math. Phys. 225, 551-571, 2002.
80. 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.
81. J. A. Carrillo, C. Cercignani, I. Gamba, Steady states of a Boltzmann equation for driven granular media, Phys. Rev. E., 62, 7700-7707, 2000.
82. 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.
83. 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.
84. 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.
85. 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.
86. 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.
87. J. A. Carrillo, J. Soler, On the evolution of an angle in a vortex patch, J. Nonlinear Sci., 10, 23-47, 2000.
88. 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.
89. J. A. Carrillo, G. Toscani, Exponential convergence toward equilibrium for homogeneous Fokker-Planck-type equations, Math. Meth. Appl. Sci., 21, 1269-1286, 1998.
90. 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.
91. J.A. Carrillo, On a non-local elliptic equation with decreasing nonlinearity arising in plasma physics, Nonlinear Analysis 32, 97-115, 1998.
92. 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.
93. J.A. Carrillo, J. Soler, Functional solutions for the Vlasov-Poisson system, Appl. Math. Lett. 10, 45-50, 1997.
94. 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.
95. 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.
96. 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.
97. 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.
98. 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.
99. 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

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.