Porous medium equation with nonlocal pressure

DOI10.1007/978-3-319-89800-1_12zbMath1406.35302arXiv1801.04244OpenAlexW2783319304MaRDI QIDQ1713258

Diana Stan, Félix del Teso, Juan Luis Vazquez

Publication date: 24 January 2019

Full work available at URL: https://arxiv.org/abs/1801.04244

zbMATH Keywords

existenceasymptotic behaviorself-similar solutionsuniquenessporous medium equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for higher-order parabolic equations (35K35) Flows in porous media; filtration; seepage (76S05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Self-similar solutions to PDEs (35C06) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (5)

The Cauchy problem for the fast \(p\)-Laplacian evolution equation. Characterization of the global Harnack principle and fine asymptotic behaviour ⋮ Long-time asymptotics for a 1D nonlocal porous medium equation with absorption or convection ⋮ Asymptotic profiles of nonlinear homogeneous evolution equations of gradient flow type ⋮ Existence of weak solutions for a general porous medium equation with nonlocal pressure ⋮ On a fractional thin film equation

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