Remarks on the method of modulus of continuity and the modified dissipative porous media equation

DOI10.1016/j.jde.2010.11.007zbMath1252.35103arXiv0908.1257OpenAlexW2962934221MaRDI QIDQ627676

Kazuo Yamazaki

Publication date: 3 March 2011

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

Full work available at URL: https://arxiv.org/abs/0908.1257

zbMATH Keywords

criticalityBesov spacequasi-geostrophic equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (6)

Global well‐posedness for incompressible flow in porous media with partial diffusion or fractional diffusion ⋮ On the regularity criteria of a surface quasi-geostrophic equation ⋮ Well-posedness of a 1D transport equation with nonlocal velocity in the Lei-Lin space ⋮ Spatial-decay of solutions to the quasi-geostrophic equation with the critical and supercritical dissipation ⋮ On the global regularity of generalized Leray-alpha type models ⋮ Global well-posedness of the 3D incompressible porous media equation with critical dissipation in Triebel-Lizorkin spaces

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