MATEMÁTICA APLICADA
Department
José Antonio
Carrillo
Publications by the researcher in collaboration with José Antonio Carrillo (34)
2019
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Exponential equilibration of genetic circuits using entropy methods
Journal of Mathematical Biology, Vol. 78, Núm. 1-2, pp. 373-411
2016
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Phase transitions in a kinetic flocking model of cucker smale type
Multiscale Modeling and Simulation, Vol. 14, Núm. 3, pp. 1063-1088
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The Fokker-Planck equation for bosons in 2D: Well-posedness and asymptotic behavior
Nonlinear Analysis, Theory, Methods and Applications, Vol. 137, pp. 291-305
2015
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Existence of Compactly Supported Global Minimisers for the Interaction Energy
Archive for Rational Mechanics and Analysis, Vol. 217, Núm. 3, pp. 1197-1217
2013
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Measure solutions for some models in population dynamics
Acta Applicandae Mathematicae, Vol. 123, Núm. 1, pp. 141-156
2012
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Decay rates for a class of diffusive-dominated interaction equations
Journal of Mathematical Analysis and Applications, Vol. 389, Núm. 1, pp. 541-557
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Mean-field limit for the stochastic Vicsek model
Applied Mathematics Letters, Vol. 25, Núm. 3, pp. 339-343
2011
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A numerical solver for a nonlinear Fokker-Planck equation representation of neuronal network dynamics
Journal of Computational Physics, Vol. 230, Núm. 4, pp. 1084-1099
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A well-posedness theory in measures for some kinetic models of collective motion
Mathematical Models and Methods in Applied Sciences, Vol. 21, Núm. 3, pp. 515-539
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Stochastic mean-field limit: Non-lipschitz forces and swarming
Mathematical Models and Methods in Applied Sciences, Vol. 21, Núm. 11, pp. 2179-2210
2010
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Collective behavior of animals: swarming and complex patterns
Arbor: Ciencia, pensamiento y cultura, Núm. 746, pp. 1035-1049
2009
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A deterministic solver for a hybrid quantum-classical transport model in nanoMOSFETs
Journal of Computational Physics, Vol. 228, Núm. 17, pp. 6553-6571
2007
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Deterministic kinetic solvers for charged particle transport in semiconductor devices
Modeling and Simulation in Science, Engineering and Technology (Springer Basel), pp. 151-171
2006
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DSMC versus WENO-BTE: A double gate MOSFET example
Journal of Computational Electronics, Vol. 5, Núm. 4, pp. 471-474
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Deterministic simulation of the Boltzmann-Poisson system in GaAs-based semiconductors
SIAM Journal on Scientific Computing, Vol. 27, Núm. 6, pp. 1981-2009
2005
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Long-time behavior for a nonlinear fourth-order parabolic equation
Transactions of the American Mathematical Society, Vol. 357, Núm. 3, pp. 1161-1175
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Parallelization of Implicit-Explicit Runge-Kutta methods for cluster of PCs
Lecture Notes in Computer Science
2004
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Accurate deterministic numerical simulation of p-n junctions
Journal of Computational Electronics, Vol. 3, Núm. 3-4, pp. 235-238
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Accurate deterministic numerical simulation of p-n junctions
2004 10th International Workshop on Computational Electronics, IEEE IWCE-10 2004, Abstracts
2003
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Equilibration rate for the linear inhomogeneous relaxation-time Boltzmann equation for charged particles
Communications in Partial Differential Equations, Vol. 28, Núm. 5-6, pp. 969-989