Porous medium equation and cross-diffusion systems as limit of nonlocal interaction
DOI10.1016/j.na.2023.113347zbMath1525.35199arXiv2202.05030MaRDI QIDQ6171636
Martin Burger, Antonio Esposito
Publication date: 14 August 2023
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.05030
porous medium equationnonlocal interactionlocal limitvariational time discretisationcross-diffusion systems
Interacting particle systems in time-dependent statistical mechanics (82C22) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Variational methods applied to PDEs (35A15) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Weak solutions to PDEs (35D30) Initial value problems for second-order parabolic systems (35K45) PDEs in connection with statistical mechanics (35Q82) PDEs with measure (35R06)
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