Step-like contrast structure in a singularly perturbed system of parabolic equations

DOI10.1134/S0012266115030064zbMath1332.35151MaRDI QIDQ2352647

N. T. Levashova, A. A. Melnikova

Publication date: 3 July 2015

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

zbMATH Keywords

parabolic systemssingular perturbationsasymptotic expansions

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Asymptotic expansions of solutions to PDEs (35C20) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (4)

Existence and asymptotic representation of the autowave solution of a system of equations ⋮ Existence of a periodic solution in the form of a two-dimensional front in a system of parabolic equations ⋮ Existence and stability of a front-type periodic solution of a two-component system of parabolic equations ⋮ Front Dynamics in an Activator-Inhibitor System of Equations

Cites Work

• Singularly perturbed problems with boundary and internal layers
• On nonlinear reaction-diffusion systems
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Spikelike contrast structures in the parabolic system of two singularly perturbed equations
• Steplike contrast structure in a singularly perturbed system of equations with different powers of small parameter
• Front motion in the parabolic reaction-diffusion problem
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