Positive solutions of the porous medium equation with hysteresis

DOI10.1016/S0022-247X(02)00568-1zbMath1028.35077MaRDI QIDQ1399304

A. Yu. Belyaev

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Neumann boundary conditionsnonnegative solutionshysteretic terms

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65)

Related Items (4)

A filtration model with hysteresis ⋮ Existence results for nonlinear pseudoparabolic problems ⋮ The diffusive form of Richards' equation with hysteresis ⋮ ON THE EQUATION OF BARENBLATT–SOBOLEV

Cites Work

• Uniqueness of solutions of the initial-value problem for \(u_t- \Delta\varphi (u)=0\)
• Differential models of hysteresis
• Analysis of a new model for unsaturated flow in porous media including hysteresis and dynamic effects
• Unsaturated porous flows with play-type capillary hysteresis.
• Convergence and approximation of semigroups of nonlinear operators in Banach spaces
• Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
• The Asymptotic Behavior of Gas in an n-Dimensional Porous Medium
• Some Relations Between Nonexpansive and Order Preserving Mappings
• Maximal viscosity solutions of the modified porous medium equation and their asymptotic behaviour
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