On gradient flow and entropy solutions for nonlocal transport equations with nonlinear mobility
From MaRDI portal
Publication:2141060
DOI10.1016/j.na.2022.112904zbMath1491.35383arXiv2105.11389OpenAlexW3164157397MaRDI QIDQ2141060
Publication date: 23 May 2022
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/2105.11389
Integro-partial differential equations (45K05) Variational methods applied to PDEs (35A15) Theoretical approximation in context of PDEs (35A35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75) Transport equations (35Q49)
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Entropy Solutions of Mildly Singular Nonlocal Scalar Conservation Laws with Congestion via Deterministic Particle Methods, Deterministic particle approximation of aggregation diffusion equations with nonlinear mobility
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