On Extension of Asymptotic Comparison Principle for Time Periodic Reaction-Diffusion-Advection Systems with Boundary and Internal Layers

DOI10.1007/978-3-319-20239-6_6zbMath1362.35030OpenAlexW1258023621MaRDI QIDQ2942188

Aleksei Yagremtsev, Nikolai N. Nefedov

Publication date: 20 August 2015

Published in: Finite Difference Methods,Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-20239-6_6

zbMATH Keywords

moving frontsbalanced nonlinearity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Maximum principles in context of PDEs (35B50)

Related Items (2)

On a New Type of Periodic Fronts in Burgers Type Equations with Modular Advection ⋮ Existence and asymptotic stability of a stationary boundary-layer solution of the two-dimensional reaction-diffusion-advection problem

Cites Work

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• Singularly perturbed problems with boundary and internal layers
• Green's function estimates for a singularly perturbed convection-diffusion problem
• Existence and asymptotic stability of periodic solutions with an interior layer of reaction-advection-diffusion equations
• Comparison Principle for Reaction-Diffusion-Advection Problems with Boundary and Internal Layers
• Asymptotic-numerical Investigation of Generation and Motion of Fronts in Phase Transition Models
• The Capriciousness of Numerical Methods for Singular Perturbations
• Numerical Analysis of a 2d Singularly Perturbed Semilinear Reaction-Diffusion Problem

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