$L^\infty $ estimates for the JKO scheme in parabolic-elliptic Keller-Segel systems

DOI10.1090/qam/1493zbMath1391.35197arXiv1709.04201OpenAlexW2963183174MaRDI QIDQ4563561

Filippo Santambrogio, José Antonio Carrillo

Publication date: 1 June 2018

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.04201

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonlinear parabolic equations (35K55)

Related Items (9)

Primal dual methods for Wasserstein gradient flows ⋮ Fast Diffusion leads to partial mass concentration in Keller–Segel type stationary solutions ⋮ A nonlocal free boundary problem with Wasserstein distance ⋮ On the well-posedness via the JKO approach and a study of blow-up of solutions for a multispecies Keller-Segel chemotaxis system with no mass conservation ⋮ JKO estimates in linear and non-linear Fokker-Planck equations, and Keller-Segel: \(L^p\) and Sobolev bounds ⋮ Crowd motion and evolution PDEs under density constraints ⋮ Nonlinear aggregation-diffusion equations: radial symmetry and long time asymptotics ⋮ Degenerate nonlinear parabolic equations with discontinuous diffusion coefficients ⋮ On the critical mass Patlak-Keller-Segel system for multi-species populations: global existence and infinte time aggregation

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