Large time behaviour of solutions of the porous medium equation with convection

DOI10.1016/0022-0396(90)90133-AzbMath0707.35073MaRDI QIDQ919530

J. M. De Graaf, C. J. Van Duijn

Publication date: 1990

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

zbMATH Keywords

convergenceCauchy problemCauchy-Dirichlet problemrarefaction wavereduced problems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Flows in porous media; filtration; seepage (76S05)

Related Items (3)

Asymptotic behavior for the critical nonhomogeneous porous medium equation in low dimensions ⋮ Capillary hysteresis and gravity segregation in two phase flow through porous media ⋮ The Riemann problem for a forward-backward parabolic equation

Cites Work

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• On a nonlinear degenerate parabolic equation in infiltration or evaporation through a porous medium
• The occurrence of interfaces in nonlinear diffusion-advection processes
• The Cauchy problem for an equation in the theory of infiltration
• Asymptotic behaviour of solutions of a nonlinear diffusion equation
• Properties of solutions of an equation in the theory of infiltration
• Asymptotic behavior of solutions of second order parabolic partial differential equations with unbounded coefficients
• Limiting Profiles in Contaminant Transport Through Porous Media
• On the Diffusion of Immiscible Fluids in Porous Media
• L1 stability of travelling waves with applications to convective porous media flow
• Asymptotic Behavior of Solutions of the Porous Media Equation

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