Nonlinear degenerate parabolic equations in infiltration through a porous medium

DOI10.1016/S1007-5704(98)90071-5zbMath0919.35107MaRDI QIDQ1288371

Guofu Lu

Publication date: 8 June 1999

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessglobal solutionwaiting timeblow upinfiltrationnonlinear Fokker-Planck equationnonnegative Radon measure

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65)

Related Items (6)

The well-posedness of the solutions based on the \(L^1\) initial value condition ⋮ Infiltration equation with degeneracy on the boundary ⋮ On a convection diffusion equation with absorption term ⋮ On the stability of a non-Newtonian polytropic filtration equation ⋮ The partial boundary value condition for a polytropic filtration equation with variable exponents ⋮ Unnamed Item

Cites Work

• Hölder estimates for solutions of uniformly degenerate quasilinear parabolic equations
• Source-type solutions for equations of nonstationary filtration
• The Initial Trace of a Solution of the Porous Medium Equation
• Non-negative solutions of theo porous medium eqation
• Uniqueness of the solutions of ut−Δϕ(u) = 0 with initial datum a measure
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