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Documents de recerca	32 registres trobats 11 - 20 anar al registre:	La cerca s'ha fet en 0.00 segons.

11.

18 p, 272.6 KB

Refined asymptotics for the subcritical Keller-Segel system and related functional inequalities / Calvez, Vincent (Ecole Normale Supérieure de Lyon) ; Carrillo de la Plata, José Antonio (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Centre de Recerca Matemàtica
We analyze the rate of convergence towards self-similarity for the subcritical Keller-Segel system in the radially symmetric two-dimensional case and in the corresponding one-dimensional case for logarithmic interaction. [...]
Centre de Recerca Matemàtica 2010 (Prepublicacions del Centre de Recerca Matemàtica ; 958)

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12.

48 p, 405.8 KB

Discontinuous Galerkin methods for the Multi-dimensional Vlasov-Poisson problem / Ayuso de Dios, Blanca (Centre de Recerca Matemàtica) ; Carrillo de la Plata, José Antonio (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Shu, C.-W. (Brown University. Division of Applied Mathematics) ; Centre de Recerca Matemàtica
We introduce and analyze two new semi-discrete numerical methods for the multi-dimensional Vlasov-Poisson system. The schemes are constructed by combing a discontinuous Galerkin approximation to the Vlasov equation together with a mixed finite element method for the Poisson problem. [...]
Centre de Recerca Matemàtica 2010 (Prepublicacions del Centre de Recerca Matemàtica ; 962)

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13.

25 p, 2.4 MB

A numerical solver for a nonlinear Fokker-Planck equation representation of neuronal network dynamics / Cáceres, María J. (Universidad de Granada. Departamento de Matemática Aplicada) ; Carrillo de la Plata, José Antonio (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Tao, Louis (Peking University. Plant Genetics Engineering) ; Centre de Recerca Matemàtica
To describe the collective behavior of large ensembles of neurons in neuronal network, a kinetic theory description was developed in [13, 12], where a macroscopic representation of the network dynamics was directly derived from the microscopic dynamics of individual neurons, which are modeled by conductance-based, linear, integrate-and-fire point neurons. [...]
Centre de Recerca Matemàtica 2010 (Prepublicacions del Centre de Recerca Matemàtica ; 938)

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14.

25 p, 415.3 KB

A decision-making Fokker-Planck model in computational neuroscience / Carrillo de la Plata, José Antonio (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Cordier, Stéphane (University of Orleans. Department of Mathematics) ; Mancini, Simona (University of Orleans. Department of Mathematics) ; Centre de Recerca Matemàtica
Minimal models for the explanation of decision-making in computational neuroscience are based on the analysis of the evolution for the average firing rates of two interacting neuron populations. While these models typically lead to multi-stable scenario for the basic derived dynamical systems, noise is an important feature of the model taking into account finite-size effects and robustness of the decisions. [...]
Centre de Recerca Matemàtica 2010 (Prepublicacions del Centre de Recerca Matemàtica ; 919)

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15.

49 p, 515.7 KB

Discontinuous Galerkin methods for the one-dimensional Vlasov-Poisson system / Ayuso de Dios, Blanca (Universidad Autónoma de Madrid. Departamento de Matemáticas) ; Carrillo de la Plata, José Antonio (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Shu, C.-W. (Brown University. Division of Applied Mathematics) ; Centre de Recerca Matemàtica
We construct a new family of semi-discrete numerical schemes for the approximation of the one-dimensional periodic Vlasov-Poisson system. The methods are based on the coupling of discontinuous Galerkin approximation to the Vlasov equation and several finite element (conforming, non-conforming and mixed) approximations for the Poisson problem. [...]
Centre de Recerca Matemàtica 2009 (Prepublicacions del Centre de Recerca Matemàtica ; 900)

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16.

26 p, 1.1 MB

A mixed finite element method for nonlinear diffusion equations / Burger, Martin (Institut für Numerische und Angewandte Mathematik (Munster, Alemanya)) ; Carrillo de la Plata, José Antonio (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Wolfram, Marie-Therese (University of Cambridge. Department of Applied Mathematics and Theoretical Physics) ; Centre de Recerca Matemàtica
We propose a mixed finite element method for a class of nonlinear diffusion equations, which is based on their interpretation as gradient flows in optimal transportation metrics. We introduce an appropriate linearization of the optimal transport problem, which leads to a mixed symmetric formulation. [...]
Centre de Recerca Matemàtica 2009 (Prepublicacions del Centre de Recerca Matemàtica ; 891)

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17.

15 p, 204.6 KB

Rigorous derivation of a nonlinear diffusion equation as fast-reaction limit of a continuous coagulation-fragmentation model with diffusion / Carrillo de la Plata, José Antonio (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Desvillettes, L. (École Normale Supérieure de Cachan (Cachan, França)) ; Fellner, K. (University of Cambridge. Department of Applied Mathematics and Theoretical Physics) ; Centre de Recerca Matemàtica
Weak solutions of the spatially inhomogeneous (diffusive) Aizenmann-Bak model of coagulation-breakup within a bounded domain with homogeneous Neumann boundary conditions are shown to converge, in the fast reaction limit, towards local equilibria determined by their mass. [...]
Centre de Recerca Matemàtica 2009 (Prepublicacions del Centre de Recerca Matemàtica ; 887) - DOI (Digital Object Identifier)

10.1080/03605300903225396

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18.

22 p, 235.4 KB

Asymptotic flocking dynamics for the kinetic Cucker-Smale model / Carrillo de la Plata, José Antonio (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Fornasier, Massimo (Johann Radon Institute for Computational and Applied Mathematics (Linz, Àustria)) ; Rosado Linares, Jesús (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Toscani, Giuseppe (University of Pavia. Department of Mathematics) ; Centre de Recerca Matemàtica
In this paper, we analyse the asymptotic behavior of solutions of the continuous kinetic version of flocking by Cucker and Smale [16], which describes the collective behavior of an ensemble of organisms, animals or devices. [...]
Centre de Recerca Matemàtica 2009 (Prepublicacions del Centre de Recerca Matemàtica ; 886)

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19.

26 p, 261.3 KB

A well-posedness theory in measures for some kinetic models of collective motion / Cañizo Rincón, José Alfredo (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Carrillo de la Plata, José Antonio (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Rosado Linares, Jesús (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Centre de Recerca Matemàtica
We present existence, uniqueness and continuous dependence results for some kinetic equations motivated by models for the collective behavior of large groups of individuals. Models of this kind have been recently proposed to study the behavior of large groups of animals, such as flocks of birds, swarms, or schools of fish. [...]
Centre de Recerca Matemàtica 2009 (Prepublicacions del Centre de Recerca Matemàtica ; 885)

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20.