A nonlinear singularly perturbed problem for reaction diffusion equations with boundary perturbation

DOI10.1007/S10255-005-0220-4zbMath1084.35009OpenAlexW2043155930MaRDI QIDQ2577650

Wantao Lin, Jia-Qi Mo

Publication date: 5 January 2006

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-005-0220-4

zbMATH Keywords

singular perturbationnonlineardifferential inequalityboundary perturbationreaction diffusion

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)

Related Items (13)

Singularly perturbed reaction diffusion equations with time delay ⋮ Singularly perturbed differential-difference reaction diffusion equations with time delay ⋮ Singularly perturbed solution for third order nonlinear equations with two parameters ⋮ Singularly perturbed solution for nonlinear equations of fourth order with two parameters ⋮ Positive solution of singularly perturbed Dirichlet problem with singularities ⋮ Solvability for nonlinear elliptic equation with boundary perturbation ⋮ Singular perturbation for the weakly nonlinear reaction diffusion equation with boundary perturbation ⋮ A class of nonlinear singularly perturbed initial boundary value problems for reaction diffusion equations with boundary perturbation ⋮ Asymptotic solution of quasi-linear singularly perturbed boundary value problems with singular equation ⋮ Asymptotic solution of nonlinear nonlocal singularly perturbed reaction diffusion problems with two parameters ⋮ Nonlinear singularly perturbed problems of ultraparabolic equations ⋮ Singularly perturbed solution to semilinear reaction diffusion equations with two parameters ⋮ Asymptotic solution of activator inhibitor systems for nonlinear reaction diffusion equations

Cites Work

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• Beyond-all-orders effects in multiple-scales asymptotics: Travelling-wave solutions to the Kuramoto-Sivashinsky equation
• 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
• The singularly perturbed problem for combustion reaction diffusion

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