On solutions to nonlinear reaction-diffusion-convection equations with degenerate diffusion

DOI10.1006/jdeq.2000.3800zbMath0977.35068OpenAlexW2036698365MaRDI QIDQ5929873

Yun-Guang Lu, Willi Jäger

Publication date: 6 January 2002

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

Full work available at URL: https://doi.org/10.1006/jdeq.2000.3800

zbMATH Keywords

flow in porous mediaheat equation with transfernonlinear heat equationregularity of parabolic equations

Mathematics Subject Classification ID

Related Items (18)

Boundary value problem for a class of degenerate quasilinear parabolic equations with singularity ⋮ Morse theory and local linking for a class of boundary value problems with impulsive effects ⋮ Existence and multiplicity of solutions for asymptotically linear, noncoercive elliptic equations ⋮ A Six-Level Time-Split Leap-Frog/ Crank–Nicolson Approach for Two-Dimensional Nonlinear Time-Dependent Convection Diffusion Reaction Equation ⋮ A remark on large time asymtotics for solutions of a nonhomogeneous viscous Burgers equation ⋮ Invariant sets and solutions to the two-dimensional nonlinear reaction-diffusion equations ⋮ Local bounds of the gradient of weak solutions to the porous medium equation ⋮ A multiplicity theorem for \(p\)-superlinear \(p\)-Laplacian equations using critical groups and Morse theory ⋮ Multiplicity theorems for superlinear elliptic problems ⋮ Error estimates for a mixed finite element discretization of some degenerate parabolic equations ⋮ Existence of three solutions for quasilinear elliptic equations: an Orlicz-Sobolev space setting ⋮ Hölder estimates of solutions to a degenerate diffusion equation ⋮ High order finite difference multi-resolution WENO method for nonlinear degenerate parabolic equations ⋮ Higher order asymptotic for Burgers equation and adhesion model ⋮ Applications of local linking to nonlocal Neumann problems ⋮ A priori gradient bounds for fully nonlinear parabolic equations and applications to porous medium models ⋮ A RBF-WENO finite difference scheme for non-linear degenerate parabolic equations ⋮ GROUND STATE SOLUTIONS FOR -SUPERLINEAR -LAPLACIAN EQUATIONS

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