A cross-diffusion system obtained via (convex) relaxation in the JKO scheme

DOI10.1007/S00526-022-02356-8OpenAlexW3215185546WikidataQ115385835 ScholiaQ115385835MaRDI QIDQ2099840

Havva Yoldas, Romain Ducasse, Filippo Santambrogio

Publication date: 18 November 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.13764

zbMATH Keywords

gradient flow for the Wasserstein distancegradient flow of the relaxed functional

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Degenerate parabolic equations (35K65) Methods involving semicontinuity and convergence; relaxation (49J45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order parabolic systems (35K40) Quasilinear parabolic equations (35K59)

Related Items (1)

A Degenerate Cross-Diffusion System as the Inviscid Limit of a Nonlocal Tissue Growth Model

Cites Work

• \{Euclidean, metric, and Wasserstein\} gradient flows: an overview
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• On a cross-diffusion segregation problem arising from a model of interacting particles
• The Variational Formulation of the Fokker--Planck Equation
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