Regularity of Hölder continuous solutions of the supercritical porous media equation

DOI10.1186/1687-2770-2013-225zbMath1291.76318OpenAlexW2118725065WikidataQ59302058 ScholiaQ59302058MaRDI QIDQ2252581

Qiwu Luo, Xianming Wu, Wenxin Yu, Yaonan Tong, Yi-Gang He

Publication date: 18 July 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-225

zbMATH Keywords

regularityweak solutionsporous media equationsupercritical dissipation

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Cites Work

• Unnamed Item
• Unnamed Item
• Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
• Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation
• Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
• Theory of function spaces
• A maximum principle applied to quasi-geostrophic equations
• Global solutions of the super-critical 2D quasi-geostrophic equation in Besov spaces
• A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation
• THE QUASI-GEOSTROPHIC EQUATION AND ITS TWO REGULARIZATIONS
• Incompressible flow in porous media with fractional diffusion
• Analytical behavior of two-dimensional incompressible flow in porous media
• Global regularity for a modified critical dissipative quasi-geostrophic equation
• On the Global Well-Posedness of the Critical Quasi-Geostrophic Equation

This page was built for publication: Regularity of Hölder continuous solutions of the supercritical porous media equation