Nonlocal PDEs for Complex Particle Dynamics: Phase Transitions, Patterns and Synchronization

Publications

Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension

Auteurs: T. S. Gutleb, J. A. Carrillo, S. Olver
Publié dans: Constructive Approximation, 2022, ISSN 0176-4276
Éditeur: Springer Verlag
DOI: 10.1007/s00365-022-09606-0

Vortex formation for a non-local interaction model with Newtonian repulsion and superlinear mobility

Auteurs: Carrillo, Jose A.; Gómez-Castro, David; Vázquez, Juan Luis
Publié dans: Advances in Nonlinear Analysis, 2022, ISSN 2191-9496
Éditeur: De Gruyter Open
DOI: 10.1515/anona-2021-0231

Infinite-time concentration in aggregation–diffusion equations with a given potential

Auteurs: José A. Carrillo; David Gómez-Castro; Juan Luis Vázquez
Publié dans: Journal de Mathématiques Pures et Appliquées, 2022, ISSN 0021-7824
Éditeur: Elsevier BV
DOI: 10.1016/j.matpur.2021.11.002

Computing equilibrium measures with power law Kernels

Auteurs: Gutleb, Timon S.; Carrillo, José A.; Olver, Sheehan
Publié dans: Mathematics of Computation, 2020, ISSN 0025-5718
Éditeur: American Mathematical Society
DOI: 10.1090/mcom/3740

Dissipative measure-valued solutions to the Euler-Poisson equation

Auteurs: J. A. Carrillo, Tomasz Dębiec, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda
Publié dans: SIAM Journal of Mathematical Analysis, 2023, ISSN 0036-1410
Éditeur: Society for Industrial and Applied Mathematics

A second-order numerical method for the aggregation equations

Auteurs: J. A. Carrillo, U. S. Fjordholm, S. Solem
Publié dans: Mathematics of Computation, 2021, ISSN 0025-5718
Éditeur: American Mathematical Society
DOI: 10.1090/mcom/3563

A λ-convexity based proof for the propagation of chaos for weakly interacting stochastic particles

Auteurs: José A. Carrillo; Matias G. Delgadino; Grigorios A. Pavliotis
Publié dans: Journal of Functional Analysis, 2020, ISSN 0022-1236
Éditeur: Academic Press
DOI: 10.1016/j.jfa.2020.108734

Noise-driven bifurcations in a nonlinear Fokker-Planck system describing stochastic neural fields

Auteurs: J. A. Carrillo, P. Roux, S. Solem
Publié dans: Physica D: Nonlinear Phenomena, 2023, ISSN 0167-2789
Éditeur: Elsevier BV
DOI: 10.1016/j.physd.2023.133736

Sharp conditions on global existence and blow-up in a degenerate two-species and cross-attraction system

Auteurs: José Carrillo Antonio; Ke Lin
Publié dans: Advances in Nonlinear Analysis, 2022, ISSN 2191-9496
Éditeur: De Gruyter Open
DOI: 10.1515/anona-2020-0189

Equilibria of an anisotropic nonlocal interaction equation: Analysis and numerics

Auteurs: J. A. Carrillo, B. Düring, L. M, Kreusser, C.-B. Schönlieb
Publié dans: Discrete and Continuous Dynamical Systems- Series A (DCDS-A), 2021, ISSN 1078-0947
Éditeur: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.3934/dcds.2021025

Nonlinear reaction-diffusion processes for nanocomposites-anomalous improved homogenization

Auteurs: J. I. Diaz, D. Gómez-Castro. T. A. Shaposhnikova
Publié dans: De Gruyter Series in Nonlinear Analysis and Applications, 2021, ISSN 0941-813X
Éditeur: De Gruyter
DOI: 10.1515/9783110648997

Enhancement of damaged-image prediction through Cahn-Hilliard image inpainting.

Auteurs: José A. Carrillo; Serafim Kalliadasis; Fuyue Liang; Sergio P. Perez
Publié dans: Royal Society Open Science, 2021, ISSN 2054-5703
Éditeur: The Royal Society
DOI: 10.1098/rsos.201294

Convergence of a particle method for a regularized spatially homogeneous Landau equation

Auteurs: J. A. Carrillo, M. G. Delgadino, J. S. H. Wu
Publié dans: Mathematical Models and Methods in the Applied Sciences, 2023, ISSN 0218-2025
Éditeur: World Scientific Publishing Co
DOI: 10.1142/s0218202523500215

A Lipschitz metric for the Camassa--Holm equation

Auteurs: J. A. Carrillo, K. Grunert, H. Holden
Publié dans: Forum of Mathematics, Sigma, 2020, ISSN 2050-5094
Éditeur: Cambridge University Press
DOI: 10.1017/fms.2020.22

From radial symmetry to fractal behavior of aggregation equilibria for repulsive-attractive potentials

Auteurs: J. A. Carrillo, R. Shu
Publié dans: Calculus of Variations and Partial Differential Equations, 2023, ISSN 0944-2669
Éditeur: Springer Verlag
DOI: 10.1007/s00526-022-02368-4

Dynamic fibronectin assembly and remodeling by leader neural crest cells prevents jamming in collective cell migration

Auteurs: W. D. Martinson, R. McLennan, J. M. Teddy, M. C. McKinney, L. A. Davidson, R. E. Baker, H. M. Byrne, P. M. Kulesa, P. K. Maini
Publié dans: eLife, 2023, ISSN 2050-084X
Éditeur: eLife Sciences Publications
DOI: 10.7554/elife.83792

Fluid models with phase transition for kinetic equations in swarming

Auteurs: M. Bostan, J. A. Carrillo
Publié dans: Mathematical Models and Methods in Applied Sciences, 2020, ISSN 0218-2025
Éditeur: World Scientific Publishing Co
DOI: 10.1142/s0218202520400163

Minimizers of 3D anisotropic interaction energies

Auteurs: J. A. Carrillo, R. Shu
Publié dans: Advances in Calculus of Variations, 2023, ISSN 1864-8258
Éditeur: Walter de Gruyter GmbH & Co. KG

An invariance principle for gradient flows in the space of probability measures

Auteurs: Carrillo, J. A.; Gvalani, R. S.; Wu, J.
Publié dans: Journal of Differential Equations, 2023, ISSN 0022-0396
Éditeur: Academic Press
DOI: 10.48550/arxiv.2010.00424

Structure preserving primal dual methods for gradient flows with nonlinear mobility transport distances

Auteurs: J. A. Carrillo, L. Wang, C. Wei
Publié dans: SIAM Journal on Numerical Analysis, 2023, ISSN 0036-1429
Éditeur: Society for Industrial and Applied Mathematics

Existence of Radial Global Smooth Solutions to the Pressureless Euler–Poisson Equations with Quadratic Confinement

Auteurs: J. A. Carrillo, R. Shu
Publié dans: Archive for Rational Mechanics and Analysis, 2023, ISSN 0003-9527
Éditeur: Springer Verlag
DOI: 10.1007/s00205-023-01905-5

Bound-Preserving Finite-Volume Schemes for Systems of Continuity Equations with Saturation

Auteurs: R. Bailo, J. A. Carrillo, J. Hu
Publié dans: SIAM Journal of Applied Mathematics, 2022, ISSN 0036-1399
Éditeur: Society for Industrial and Applied Mathematics

Coarse graining of a Fokker–Planck equation with excluded volume effects preserving the gradient flow structure

Auteurs: M. Bruna, M. Burger, J. A. Carrillo
Publié dans: European Journal of Applied Mathematics, 2021, ISSN 0956-7925
Éditeur: Cambridge University Press
DOI: 10.1017/s0956792520000285

Convergence of a finite volume scheme for a system of interacting species with cross-diffusion

Auteurs: J. A. Carrillo, F. Filbet, M. Schmidtchen
Publié dans: Numerische Mathematik, 2020, ISSN 0029-599X
Éditeur: Springer Verlag
DOI: 10.1007/s00211-020-01121-3

Singular boundary behaviour and large solutions for fractional elliptic equations

Auteurs: Abatangelo, Nicola; Gómez-Castro, David; Vázquez, Juan Luis
Publié dans: Journal of the London Mathematical Society, 2022, ISSN 1469-7750
Éditeur: LMS
DOI: 10.1112/jlms.12692

Mathematical modelling of collagen fibres rearrangement during the tendon healing process

Auteurs: J. A. Carrillo, M. Parisot, Z. Szymańska
Publié dans: Kinetic and Related Models, 2021, ISSN 1937-5093
Éditeur: American Institute of Mathematical Sciences
DOI: 10.3934/krm.2021005

A local continuum model of cell-cell adhesion

Auteurs: C. Falcó, R. E. Baker, J. A. Carrillo
Publié dans: SIAM Journal of Applied Mathematics, 2022, ISSN 0036-1399
Éditeur: Society for Industrial and Applied Mathematics
DOI: 10.1137/22m1506079

Well-posedness of an integro-differential model for active Brownian particles

Auteurs: Maria Bruna; Martin Burger; Antonio Esposito; Simon Schulz
Publié dans: SIAM Journal of Mathematical Analysis, 2022, ISSN 1095-7154
Éditeur: SIAM
DOI: 10.17863/cam.90770

Global Minimizers of a Large Class of Anisotropic Attractive-Repulsive Interaction Energies in 2D

Auteurs: J. A. Carrillo, R. Shu
Publié dans: Communications on Pure and Applied Mathematics, 2022, ISSN 0010-3640
Éditeur: John Wiley & Sons Inc.
DOI: 10.1002/cpa.22162

Segregation effects and gap formation in cross-diffusion models

Auteurs: M. Burger, J. A. Carrillo, J.-F. Pietschmann, M. Schmidtchen
Publié dans: Interfaces and Free Boundaries, 2020, ISSN 1463-9963
Éditeur: European Mathematical Society Publishing House
DOI: 10.4171/ifb/438

Boltzmann to Landau from the gradient flow perspective

Auteurs: J. A. Carrillo, M. Delgadino, J. Wu
Publié dans: Nonlinear Analysis, 2022, ISSN 0362-546X
Éditeur: Pergamon Press Ltd.
DOI: 10.1016/j.na.2022.112824

Adaptation to DNA Damage, an Asymptotic Approach for a Cooperative Non-local System

Auteurs: Léculier, A; Roux, P
Publié dans: Acta Applicandae Mathematicae, 2022, ISSN 0167-8019
Éditeur: Kluwer Academic Publishers
DOI: 10.1007/s10440-022-00501-1

Theoretical study of the emergence of periodic solutions for the inhibitory NNLIF neuron model with synaptic delay

Auteurs: K. Ikeda, P. Roux, D. Salort, D. Smets
Publié dans: Mathematical Neuroscience and Applications, 2022, ISSN 2801-0159
Éditeur: EPPSciences
DOI: 10.46298/mna.7256

Primal Dual Methods for Wasserstein Gradient Flows

Auteurs: J. A. Carrillo, K. Craig, L. Wang, C. Wei
Publié dans: Foundations of Computational Mathematics, 2022, ISSN 1615-3375
Éditeur: Springer Verlag
DOI: 10.1007/s10208-021-09503-1

Pressureless Euler with nonlocal interactions as a singular limit of degenerate Navier-Stokes system

Auteurs: José A. Carrillo; Aneta Wróblewska-Kamińska; Ewelina Zatorska
Publié dans: Journal of Mathematical Analysis and Applications, 2020, ISSN 0022-247X
Éditeur: Academic Press
DOI: 10.1016/j.jmaa.2020.124400

A particle method for the homogeneous Landau equation

Auteurs: José A. Carrillo; Jingwei Hu; Li Wang; J. P. Wu
Publié dans: Journal of Computational Physics, 2020, ISSN 0021-9991
Éditeur: Academic Press
DOI: 10.1016/j.jcpx.2020.100066

Can the clocks tick together despite the noise? Stochastic simulations and analysis

Auteurs: S. Abo, J. A. Carrillo, A. T. Layton
Publié dans: SIAM Journal of Applied Dynamical Systems, 2022, ISSN 1536-0040
Éditeur: Society of Industrial and Applied Mathematics

Convergence of a fully discrete and energy-dissipating finite-volume scheme for aggregation-diffusion equations

Auteurs: Rafael Bailo; José A. Carrillo; Hideki Murakawa; Markus Schmidtchen
Publié dans: Mathematical Models and Methods in Applied Sciences, 2020, ISSN 0218-2025
Éditeur: World Scientific Publishing Co
DOI: 10.1142/s0218202520500487

Large friction-high force fields limit for the nonlinear Vlasov--Poisson--Fokker--Planck system

Auteurs: Carrillo, José A.; Choi, Young-Pil; Peng, Yingping
Publié dans: Kinetic and Related Models, 2022, ISSN 1937-5093
Éditeur: American Institute of Mathematical Sciences
DOI: 10.3934/krm.2021052

Projective and telescopic projective integration for non-linear kinetic mixtures

Auteurs: R. Bailo, T. Rey
Publié dans: Journal of Computational Physics, 2022, ISSN 0021-9991
Éditeur: Academic Press
DOI: 10.1016/j.jcp.2022.111082

A consensus-based global optimization method for high dimensional machine learning problems

Auteurs: J. A. Carrillo, S. Jin, L. Li, Y. Zhu
Publié dans: ESAIM: Control, Optimisation and Calculus of Variations, 2021, ISSN 1292-8119
Éditeur: EDP Sciences
DOI: 10.1051/cocv/2020046

High-Order Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations With Nonlocal Free Energy

Auteurs: José A. Carrillo; Manuel J. Castro; Serafim Kalliadasis; Sergio P. Perez
Publié dans: SIAM Journal on Scientific Computing, 2021, ISSN 1064-8275
Éditeur: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1332645

Quantifying tissue growth, shape and collision via continuum models and Bayesian inference

Auteurs: C. Falcó, D. J. Cohen, J. A. Carrillo, R. E. Baker
Publié dans: Journal of the Royal Society Interface, 2023, ISSN 1742-5689
Éditeur: The Royal Society
DOI: 10.1098/rsif.2023.0184

A simplified voltage-conductance kinetic model for interacting neurons and its asymptotic limit, to appear in SIAM J. Math. Anal.

Auteurs: J. A. Carrillo, X. Dou, Z. Zhou
Publié dans: SIAM Journal on Mathematical Analysis, 2023, ISSN 0036-1410
Éditeur: Society for Industrial and Applied Mathematics

Three representations of the fractional p-Laplacian: Semigroup, extension and Balakrishnan formulas

Auteurs: Félix del Teso; David Gómez-Castro; Juan Luis Vázquez
Publié dans: Fractional Calculus and Applied Analysis, 2021, ISSN 1311-0454
Éditeur: Springer Science + Business Media
DOI: 10.1515/fca-2021-0042

A fast regularisation of a Newtonian vortex equation

Auteurs: J. A. Carrillo, David Gómez-Castro, J. L. Vázquez
Publié dans: Annales de l'Institut Henri Poincaré C, 2021, ISSN 0294-1449
Éditeur: Elsevier BV
DOI: 10.4171/aihpc/17

Phase Transitions for Nonlinear Nonlocal Aggregation-Diffusion Equations.

Auteurs: José A. Carrillo; Rishabh S. Gvalani
Publié dans: Communications in Mathematical Physics, 2021, ISSN 0010-3616
Éditeur: Springer Verlag
DOI: 10.1007/s00220-021-03977-4

Phase Separation in Systems of Interacting Active Brownian Particles

Auteurs: Maria Bruna; Martin Burger; Antonio Esposito; Simon M. Schulz
Publié dans: SIAM Journal of Applied Mathematics, 2022, ISSN 0036-1399
Éditeur: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1452524

A Finite Volume Method for Continuum Limit Equations of Nonlocally Interacting Active Chiral Particles

Auteurs: Nikita Kruk; José A. Carrillo; Heinz Koeppl
Publié dans: Journal of Computational Physics, 2021, ISSN 0021-9991
Éditeur: Academic Press
DOI: 10.1016/j.jcp.2021.110275

Traveling bands, clouds, and vortices of chiral active matter.

Auteurs: Nikita Kruk; José A. Carrillo; Heinz Koeppl
Publié dans: Physical Review E, 2020, ISSN 2470-0045
Éditeur: American Physical Society
DOI: 10.1103/physreve.102.022604

Unconditional bound-preserving and energy-dissipating finite-volume schemes for the Cahn-Hilliard equation

Auteurs: Bailo, Rafael; Carrillo, José A.; Kalliadasis, Serafim; Perez, Sergio P.
Publié dans: Communications in Computational Physics, 2023, ISSN 1815-2406
Éditeur: Global Science Press

Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces

Auteurs: José A. Carrillo; Young-Pil Choi; Jinwook Jung
Publié dans: Mathematical Models and Methods in Applied Sciences, 2021, ISSN 0218-2025
Éditeur: World Scientific Publishing Co
DOI: 10.1142/s0218202521500081

Mean-Field Limits: From Particle Descriptions to Macroscopic Equations.

Auteurs: José A. Carrillo; Young-Pil Choi
Publié dans: Archive for Rational Mechanics and Analysis, 2021, ISSN 0003-9527
Éditeur: Springer Verlag
DOI: 10.1007/s00205-021-01676-x

The Landau equation as a Gradient Flow

Auteurs: J. A. Carrillo, M. G. Delgadino, L. Desvillettes, J. Wu
Publié dans: Analysis & PDE, 2022, ISSN 2157-5045
Éditeur: Mathematical Sciences Publishers

Noise-driven bifurcations in a neural field system modelling networks of grid cells

Auteurs: José A. Carrillo; Helge Holden; Susanne Solem
Publié dans: Journal of Mathematical Biology, 2022, ISSN 0303-6812
Éditeur: Springer Verlag
DOI: 10.1007/s00285-022-01811-6

Evolution of a structured cell population endowed with plasticity of traits under constraints on and between the traits

Auteurs: F. Alvarez, J. A. Carrillo, J. Clairambault
Publié dans: Journal of Mathematical Biology, 2022, ISSN 0303-6812
Éditeur: Springer Verlag
DOI: 10.1007/s00285-022-01820-5

Asymptotic simplification of Aggregation-Diffusion equations towards the heat kernel

Auteurs: Carrillo de la Plata, JA; Gómez-Castro, D; Yao, Y; Zeng, C
Publié dans: Archive for Rational Mechanics and Analysis, 2023, ISSN 0003-9527
Éditeur: Springer Verlag
DOI: 10.48550/arxiv.2105.13323

Analysis of Spherical Shell Solutions for the Radially Symmetric Aggregation Equation

Auteurs: Daniel Balagué Guardia; Alethea B. T. Barbaro; José A. Carrillo; Robert Volkin
Publié dans: SIAM Journal on Applied Dynamical Systems, 2020, ISSN 1536-0040
Éditeur: Society of Industrial and Applied Mathematics
DOI: 10.1137/20m1314549

Porous medium equation and cross-diffusion systems as limit of nonlocal interaction

Auteurs: M. Burger, A. Esposito
Publié dans: Nonlinear Analysis: Theory, Methods and Applications, 2023, ISSN 0362-546X
Éditeur: Pergamon Press Ltd.
DOI: 10.1016/j.na.2023.113347

Random Batch Particle Methods for the Homogeneous Landau Equation

Auteurs: J. A. Carrillo, S. Jin, Y. Tang
Publié dans: Communications in Computational Physics, 2022, ISSN 1815-2406
Éditeur: Global Science Press
DOI: 10.4208/cicp.oa-2021-0200

Fast Diffusion leads to partial mass concentration in Keller-Segel type stationary solutions

Auteurs: Carrillo, José A.; Delgadino, Matias G.; Frank, Rupert L.; Lewin, Mathieu
Publié dans: Mathematical Models and Methods in Applied Sciences, 2022, ISSN 0218-2025
Éditeur: World Scientific Publishing Co
DOI: 10.1142/s021820252250018x

Variational Asymptotic Preserving Scheme for the Vlasov--Poisson--Fokker--Planck System

Auteurs: José A. Carrillo; Li Wang; Wuzhe Xu; Ming Yan
Publié dans: Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2020, ISSN 1540-3459
Éditeur: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1350431

Controlling swarms towards flocks and mills

Auteurs: J. A. Carrillo, D. Kalise, F. Rossi, E. Trélat
Publié dans: SIAM Journal on Control and Optimization, 2021, ISSN 0363-0129
Éditeur: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1404314

Uniqueness of stationary states for singular Keller-Segel type models

Auteurs: V. Calvez, J. A. Carrillo, F. Hoffmann
Publié dans: Nonlinear Analysis: Theory, Methods and Applications, 2021, ISSN 0362-546X
Éditeur: Pergamon Press Ltd.
DOI: 10.1016/j.na.2020.112222

Characterisation of homogeneous fractional Sobolev spaces

Auteurs: L. Brasco, D. Gómez-Castro, J. L. Vázquez
Publié dans: Calculus of Variations and Partial Differential Equations, 2021, ISSN 0944-2669
Éditeur: Springer Verlag
DOI: 10.1007/s00526-021-01934-6

A positivity-preserving scheme for fluctuating hydrodynamics

Auteurs: F. Magaletti, M. Gallo, S. P. Perez, J. A. Carrillo, S. Kalliadasis
Publié dans: Journal of Computational Physics, 2022, ISSN 0021-9991
Éditeur: Academic Press
DOI: 10.1016/j.jcp.2022.111248

The equilibrium measure for an anisotropic nonlocal energy

Auteurs: J. A. Carrillo, J. Mateu, M.G. Mora, L. Rondi, L. Scardia, J. Verdera
Publié dans: Calculus of Variations and Partial Differential Equations, 2021, ISSN 0944-2669
Éditeur: Springer Verlag
DOI: 10.1007/s00526-021-01928-4

Consensus Based Sampling

Auteurs: Carrillo, Jose Antonio; Hoffmann, Franca; Stuart, Andrew M; Vaes, Urbain
Publié dans: Studies in Applied Mathematics, 2022, ISSN 0022-2526
Éditeur: Blackwell Publishing Inc.
DOI: 10.1111/sapm.12470

Global existence and decay rates to self-consistent chemotaxis-fluid system

Auteurs: J. A. Carrillo, Y. Peng, Z. Xiang
Publié dans: Discrete and Continuous Dynamical Systems A, 2023, ISSN 1078-0947
Éditeur: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.3934/dcds.2023098

The mean field limit of stochastic differential equation systems modelling grid cells

Auteurs: J. A. Carrillo, A. Clini, S. Solem
Publié dans: SIAM Journal of Mathematical Analysis, 2022, ISSN 0036-1410
Éditeur: Society for Industrial and Applied Mathematics

Wasserstein stability estimates for covariance-preconditioned Fokker-Planck equations

Auteurs: José A. Carrillo; Urbain Vaes
Publié dans: Nonlinearity, 2021, ISSN 0951-7715
Éditeur: Institute of Physics Publishing
DOI: 10.1088/1361-6544/abbe62

An Optimal Mass Transport Method for Random Genetic Drift

Auteurs: Carrillo, José A.; Chen, Lin; Wang, Qi
Publié dans: SIAM Journal on Numerical Analysis, 2020, ISSN 0036-1429
Éditeur: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1389431

Singular solutions for fractional parabolic boundary value problems

Auteurs: Hardy Chan; David Gómez-Castro; Juan Luis Vázquez
Publié dans: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022, ISSN 1578-7303
Éditeur: Real Academia de Ciencias Exactas, Fisicas y Naturales
DOI: 10.3929/ethz-b-000562743

On a Class of Nonlocal Continuity Equations on Graphs

Auteurs: A. Esposito, F. S. Patacchini, A. Schlichting
Publié dans: European Journal of Applied Mathematics, 2023, ISSN 0956-7925
Éditeur: Cambridge University Press
DOI: 10.1017/s0956792523000128

A static memory sparse spectral method for time-fractional PDEs

Auteurs: T. S. Gutleb, J. A. Carrillo
Publié dans: Journal of Computational Physics, 2023, ISSN 0021-9991
Éditeur: Academic Press
DOI: 10.1016/j.jcp.2023.112522

Graph-to-local limit for a multi-species nonlocal cross-interaction system

Auteurs: A. Esposito, G. Heinze, J.-F. Pietschmann, A. Schlichting, , Proceedings in Applied Mathematics & Mechanics, 2023.
Publié dans: Proceedings in Applied Mathematics & Mechanics, 2023, ISSN 1617-7061
Éditeur: Wiley-VCH Verlag
DOI: 10.1002/pamm.202300094

Recent development in kinetic theory of granular materials: analysis and numerical methods

Auteurs: J. A. Carrillo, J. Hu, Z. Ma, T. Rey
Publié dans: Trails in Kinetic Theory, SEMA SIMAI Springer Series, 2021
Éditeur: Springer

Chapter 4 - Lagrangian schemes for Wasserstein gradient flows

Auteurs: J. A. Carrillo, D. Matthes, M.-T. Wolfram
Publié dans: Handbook of Numerical Analysis, 2021
Éditeur: Elsevier
DOI: 10.1016/bs.hna.2020.10.002

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