Contrast structures in multidimensional singularly perturbed reaction-diffusion-advection problems

DOI10.1134/S0012266112050138zbMath1257.35028MaRDI QIDQ1760446

M. A. Davydova, Nikolai N. Nefedov

Publication date: 14 November 2012

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

zbMATH Keywords

asymptotic method of differential inequalitiesinternal transition layers

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58)

Related Items (8)

Existence and stability of solutions with boundary layers in multidimensional singularly perturbed reaction-diffusion-advection problems ⋮ Solution of contrast structure type for a parabolic reaction-diffusion problem in a medium with discontinuous characteristics ⋮ Time-independent reaction-diffusion equation with a discontinuous reactive term ⋮ Contrast structures in singularly perturbed quasilinear reaction-diffusion-advection equations ⋮ On one model problem for the reaction-diffusion-advection equation ⋮ Asymptotics of the solution to a stationary piecewise-smooth reaction-diffusion-advection equation ⋮ Contrast structures in problems for a stationary equation of reaction-diffusion-advection type with discontinuous nonlinearity ⋮ Solution of contrast structure type for a reaction-diffusion equation with discontinuous reactive term

Cites Work

• Periodic contrast structures in systems of the reaction-diffusion-advection type
• Multi-dimensional stationary internal layers for spatially inhomogeneous reaction-diffusion equations with balanced nonlinearity
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