Traveling wave solutions of advection-diffusion equations with nonlinear diffusion

DOI10.1016/j.anihpc.2012.11.003zbMath1288.35169arXiv1201.4920OpenAlexW2025633567MaRDI QIDQ2450593

Alexei Novikov, Jean-Michel Roquejoffre, Léonard Monsaingeon

Publication date: 14 May 2014

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.4920

zbMATH Keywords

degenerate diffusionshear flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Free boundary problems for PDEs (35R35) Traveling wave solutions (35C07)

Related Items (3)

Regularity Properties of Degenerate Diffusion Equations with Drifts ⋮ Singular limit of the porous medium equation with a drift ⋮ Free boundary regularity of the porous medium equation with nonlocal drifts in dimension one

Cites Work

• Degenerate diffusion with a drift potential: a viscosity solutions approach
• Elliptic partial differential equations of second order
• The Initial Trace of a Solution of the Porous Medium Equation
• C1,α regularity of the free boundary for the n-dimensional porous media equation
• User’s guide to viscosity solutions of second order partial differential equations
• Quenching of flames by fluid advection
• On the method of moving planes and the sliding method
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