Large time asymptotics of the doubly nonlinear equation in the non-displacement convexity regime

DOI10.1007/s00028-009-0040-8zbMath1239.35063arXiv0901.1068OpenAlexW2155361054MaRDI QIDQ423395

Adrien Blanchet, Martial Agueh, José Antonio Carrillo

Publication date: 2 June 2012

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.1068

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Quasilinear parabolic equations with (p)-Laplacian (35K92)

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The Fisher-KPP problem with doubly nonlinear ``fast diffusion, Asymptotic expansion of solutions to the Cauchy problem for doubly degenerate parabolic equations with measurable coefficients, The Cauchy problem for the fast \(p\)-Laplacian evolution equation. Characterization of the global Harnack principle and fine asymptotic behaviour, The Fisher-KPP problem with doubly nonlinear diffusion, Travelling wave behaviour arising in nonlinear diffusion problems posed in tubular domains, Progress in the Theory of Nonlinear Diffusion: Asymptotics via Entropy Methods, Functional inequalities and applications to doubly nonlinear diffusion equations, Large time behavior of solutions of Trudinger's equation, Barenblatt solutions and asymptotic behaviour for a nonlinear fractional heat equation of porous medium type, A doubly nonlinear evolution for the optimal Poincaré inequality, \(p\)-Euler equations and \(p\)-Navier-Stokes equations

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