Intermediate asymptotics for critical and supercritical aggregation equations and Patlak-Keller-Segel models

DOI10.4310/CMS.2011.v9.n4.a11zbMath1282.35053arXiv1009.6187OpenAlexW2963357737MaRDI QIDQ389529

Jacob Bedrossian

Publication date: 21 January 2014

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.6187

zbMATH Keywords

nonlinear diffusionaggregation equationsentropy-entropy dissipation methodsnonlocal PDE

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15) Cell movement (chemotaxis, etc.) (92C17) Self-similar solutions to PDEs (35C06) Integro-partial differential equations (35R09) Quasilinear parabolic equations (35K59)

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