Shocks in nonlinear diffusion

DOI10.1016/0893-9659(95)00062-UzbMath0838.35057MaRDI QIDQ1904509

Thomas P. Witelski

Publication date: 30 May 1996

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Cahn-Hilliard equationKuramoto-Sivashinsky equationtraveling wave solutionnonlinear forward-backward heat equationshocks for diffusive problems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55)

Related Items (11)

New travelling wave solutions of the Porous–Fisher model with a moving boundary ⋮ Shocks in nonlinear diffusion ⋮ The convective viscous Cahn–Hilliard equation: Exact solutions ⋮ Spectral stability of shock-fronted travelling waves under viscous relaxation ⋮ Looking inside an invasion wave of cells using continuum models: proliferation is the key ⋮ Travelling wave solutions in a negative nonlinear diffusion-reaction model ⋮ Coalescence of interacting cell populations ⋮ Equilibrium interface solutions of a degenerate singular Cahn-Hilliard equation ⋮ The Structure of Internal Layers for Unstable Nonlinear Diffusion Equations ⋮ Shock-fronted travelling waves in a reaction-diffusion model with nonlinear forward-backward-forward diffusion ⋮ Exact smooth and sharp-fronted travelling waves of reaction-diffusion equations with weak Allee effects

Cites Work

• Unnamed Item
• The Kuramoto-Sivashinsky equation: a bridge between PDE's and dynamical systems
• The non-existence of a certain class of travelling wave solutions of the Kuramoto-Sivashinsky equation
• Shocks in nonlinear diffusion
• Existence of Infinitely Many Solutions for a Forward Backward Heat Equation
• The Dynamics of Nucleation for the Cahn–Hilliard Equation
• A Nonlinear Integral Equation Occurring in a Singular Free Boundary Problem
• Front migration in the nonlinear Cahn-Hilliard equation
• The Stefan Problem with a Non-monotone Constitutive Relation

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