Localization of solutions of a nonlinear fokker–planck equation with dirichlet boundary conditions

DOI10.1016/0362-546X(89)90008-4zbMath0698.35077OpenAlexW2136835752MaRDI QIDQ3475687

Brian H. Gilding

Publication date: 1989

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(89)90008-4

zbMATH Keywords

Fokker-Planck equationCauchy-Dirichlet probleminfiltrationnonnegativewetting frontlocalized

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Partial differential equations of mathematical physics and other areas of application (35Q99) Qualitative properties of solutions to partial differential equations (35B99)

Related Items (3)

How parabolic free boundaries approximate hyperbolic fronts ⋮ Unnamed Item ⋮ On some nonlinear problems in mathematical physics with exponents close to critical ones

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
• On the behaviour and cases of nonexistence of the free boundary in a semibounded porous medium
• Properties of solutions of an equation in the theory of infiltration
• Regularity properties of flows through porous media: The interface
• Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations

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