Nonlinear aggregation-diffusion equations: radial symmetry and long time asymptotics

DOI10.1007/s00222-019-00898-xzbMath1427.35136arXiv1603.07767OpenAlexW2964296331MaRDI QIDQ2334544

Sabine Hittmeir, Yao Yao, Bruno Volzone, José Antonio Carrillo

Publication date: 7 November 2019

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.07767

zbMATH Keywords

free energy functionallong-time behaviorstationary stateglobal minimizercontinuous Steiner symmetrizationKeller Segel modelnonlinear aggregation-diffusion equationradial symmetric solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Interacting particle systems in time-dependent statistical mechanics (82C22) Variational problems in a geometric measure-theoretic setting (49Q20) Existence theories for free problems in two or more independent variables (49J10) Quasilinear parabolic equations (35K59) Axially symmetric solutions to PDEs (35B07)

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