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Journals
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- J. A. Carrillo, M. G. Delgadino, G. A. Pavliotis,
A
λ-convexity
based proof for the propagation of chaos for
weakly interacting stochastic particles,
J. Functional Analysis 279, 108734, 2020.
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- J. A. Carrillo, K. Grunert, H. Holden, A Lipschitz metric for the Camassa-Holm equation,
Forum of Mathematics, Sigma 8, e27, 2020.
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O. Trush, C. Liu, X. Han, Y. Nakai, R. Takayama, H. Murakawa, J. A. Carrillo, H. Takechi, S. Hakeda-Suzuki, T. Suzuki, M. Sato, N-cadherin orchestrates self-organization of neurons within a columnar unit in the Drosophila medulla, J. Neuroscience 39, 5861-5880, 2019.
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- P. Aceves-Sánchez, M. Bostan, J. A. Carrillo, P. Degond, Hydrodynamic limits for kinetic flocking models of Cucker-Smale type, Math. Bio. Eng. 16, 7883-7910, 2019.
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- A. Gosztolai, J. A. Carrillo, M. Barahona,
Collective search with finite perception: transient dynamics and search efficiency, Frontiers in Physics 6, 153-163, 2019.
- L. Alasio, M. Bruna, J. A. Carrillo, The role of a strong confining potential in a nonlinear Fokker-Planck equation,
Nonlinear Analysis TMA 193, 111480, 2020.
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- J. A. Carrillo, J. Wang, Uniform in time Linfty-estimates for nonlinear aggregation-diffusion equations, Acta Appl. Math.
164,
1–19, 2019.
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J. A. Carrillo, S. Hittmeir, B. Volzone, Y. Yao, NonlinearAggregation-Diffusion Equations: Radial Symmetry and Long Time Asymptotics, Inventiones Mathematicae 218, 889-977, 2019.
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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.
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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
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J. A. Carrillo, K. Craig, Y. Yao, Aggregation-diffusion equations: dynamics, asymptotics, and singular limits, in N. Bellomo, P. Degond, and E. Tadmor (Eds.), Active Particles Vol. II: Advances in Theory, Models, and Applications, Series: Modelling and Simulation in Science and Technology, Birkhäuser Basel, 65-108, 2019.
- R. Bailo, J. A. Carrillo, P. Degond, Pedestrian Models based on Rational Behaviour, in: Gibelli L., Bellomo N. (eds) Crowd Dynamics, Volume 1. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Cham, 259-292, 2018. Supplementary Material: Movies and Simulations.
- R. Bailo, M. Bongini, J. A. Carrillo, D. Kalise, Optimal consensus control of the Cucker-Smale model, IFAC-PapersOnLine 51, 1-6, 2018.
- A. Calsina, J. A. Carrillo, S. Cuadrado, Año de la Biología Matemática 2018, La Gaceta de la RSME, 21, 39-45, 2018.
- V. Calvez, J. A. Carrillo, F. Hoffmann, The geometry of diffusing and self-attracting particles in a one-dimensional fair-competition regime, Lecture Notes in Mathematics 2186, CIME Foundation Subseries, Springer, 2018.
- 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, 259-298, 2017.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- J. A. Cañizo, J. A. Carrillo, J. Rosado, Collective Behavior of Animals: Swarming and Complex Patterns, Arbor 186, 1035-1049, 2010.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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)
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- J. A. Carrillo, On a 1-D granular media immersed in a fluid, Fields Institute Communications, 27, 43-56, 2000.
- 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.
- 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.
- 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
- 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.
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