Energy and large time estimates for nonlinear porous medium flow with nonlocal pressure in \(\mathbb{R}^N\)

DOI10.1007/s00205-020-01543-1zbMath1447.35262OpenAlexW3034273059MaRDI QIDQ776896

Nguyen Anh Dao, Jesús Ildefonso Díaz

Publication date: 13 July 2020

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

Full work available at URL: https://doi.org/10.1007/s00205-020-01543-1

zbMATH Keywords

weak solutionscompressible fluidfractional Laplacianporous medium equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Fractional derivatives and integrals (26A33) Free boundary problems for PDEs (35R35) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Fractional partial differential equations (35R11) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (3)

On a class of nonlocal porous medium equations of Kirchhoff type ⋮ On the existence of solutions to a general mean field equation of nonlinear diffusion with the Newtonian potential pressure ⋮ Nonlinear fractional Schrödinger equations coupled by power-type nonlinearities

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