The nonlinear nonlocal singularly perturbed problems for reaction diffusion equations with a boundary perturbation

DOI10.1007/BF02836954zbMath1091.35009MaRDI QIDQ3379094

Jing-sun Yao, Jia-Qi Mo

Publication date: 6 April 2006

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

differential inequalitiesouter solution

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Asymptotic expansions of solutions to PDEs (35C20)

Cites Work

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• Singular perturbation for a class of nonlinear reaction diffusion systems
• A singularly perturbed nonlinear boundary value problem
• Beyond-all-orders effects in multiple-scales asymptotics: Travelling-wave solutions to the Kuramoto-Sivashinsky equation
• Singular perturbation of \(N\)-front travelling waves in the FitzHugh-Nagumo equations
• Stable transition layers in a semilinear diffusion equation with spatial inhomogeneities in \(N\)-dimensional domains
• Asymptotic behavior of the shock solution for a class of nonlinear equations
• Comparison theorems and variable speed waves for a scalar reaction–diffusion equation
• Interior Layers for Second-Order Singular Equations
• Singularly perturbed elliptic problems in the case of exchange of stabilities
• A singular perturbation problem of Carrier and Pearson

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