A new contraction family for porous medium and fast diffusion equations

DOI10.1007/S00205-016-0986-YzbMath1338.35355arXiv1406.6588OpenAlexW2292808444MaRDI QIDQ291805

Ghada Chmaycem, Mustapha Jazar, Régis Monneau

Publication date: 10 June 2016

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.6588

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05)

Related Items (2)

The Cauchy-Dirichlet problem for the fast diffusion equation on bounded domains ⋮ The method of differential contractions

Cites Work

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• Contractions in the 2-Wasserstein length space and thermalization of granular media
• Global existence and convergence of Yamabe flow
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• A selfsimilar solution to the focusing problem for the porous medium equation
• Self-similar behaviour for the equation of fast nonlinear diffusion
• Continuity of solutions of a singular parabolic equation

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