Large-time geometrical properties of solutions of the Barenblatt equation of elasto-plastic filtration

DOI10.1016/j.jde.2011.12.010zbMath1267.35106OpenAlexW2019830876MaRDI QIDQ765941

Yong Huang, Juan Luis Vazquez

Publication date: 22 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.jde.2011.12.010

zbMATH Keywords

fully nonlinear parabolic equationlog-concavityelasto-plastic filtration

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Plastic materials, materials of stress-rate and internal-variable type (74C99) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (3)

Barenblatt solutions and asymptotic behaviour for a nonlinear fractional heat equation of porous medium type ⋮ Solving a nonlinear variation of the heat equation: self-similar solutions of the second kind and other results ⋮ Existence of global-in-time solutions to a system of fully nonlinear parabolic equations

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