Porous medium equation with nonlocal pressure in a bounded domain
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Publication:4628882
DOI10.1080/03605302.2018.1475492zbMath1409.35224arXiv1708.00660OpenAlexW2963268108WikidataQ128963691 ScholiaQ128963691MaRDI QIDQ4628882
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Publication date: 25 March 2019
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.00660
PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Fractional partial differential equations (35R11)
Related Items (10)
A simple proof of the generalized Leibniz rule on bounded Euclidean domains ⋮ Gradient flows of modified Wasserstein distances and porous medium equations with nonlocal pressure ⋮ Nonlocal nonlinear diffusion equations. Smoothing effects, Green functions, and functional inequalities ⋮ The Cauchy-Dirichlet problem for singular nonlocal diffusions on bounded domains ⋮ On the well-posedness of a spectral fractional forward-backward pseudo-parabolic equation ⋮ Existence of weak solutions for a general porous medium equation with nonlocal pressure ⋮ On a class of diffusion-aggregation equations ⋮ Energy and large time estimates for nonlinear porous medium flow with nonlocal pressure in \(\mathbb{R}^N\) ⋮ On existence and regularity of a terminal value problem for the time fractional diffusion equation ⋮ Analysis and mean-field derivation of a porous-medium equation with fractional diffusion
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