Contrast structures in problems for a stationary equation of reaction-diffusion-advection type with discontinuous nonlinearity
type: Item
instance of: scholarly article
title: Contrast structures in problems for a stationary equation of reaction-diffusion-advection type with discontinuous nonlinearity
zbMATH Open document ID: 1432.34077
DOI: 10.1134/S0001434618110159
author: Yafei Pan
author: M. A. Davydova
author: Mingkang Ni
published in: Mathematical Notes
publication date: 2019-03-19T00:00:00Z
review text: In this article, a singularly perturbed boundary-value problem for a nonlinear stationary equation of reaction-diffusion-advection type is studied. A new class of problems with discontinuous advective and reactive terms is considered. The existence of contrast structures in problems of this type is proved, and an asymptotic approximation of the solution with an internal transition layer of arbitrary order of accuracy is obtained. New original scientific results have been obtained that can be applied in other fields of science and technology.
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 34A36
Mathematics Subject Classification ID: 34E05
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 7037790
zbMATH Keywords: problem of reaction-diffusion-advection type
zbMATH Keywords: internal transition layer
zbMATH Keywords: asymptotic methods
zbMATH Keywords: problems with discontinuous nonlinearity
reviewed by: Dilmurat Abdillazhanovich Tursunov
MaRDI profile type: Publication
cites work: Internal layers in the one-dimensional reaction-diffusion equation with a discontinuous reactive term
cites work: Time-independent reaction-diffusion equation with a discontinuous reactive term
cites work: Singularly perturbed problems with boundary and internal layers
cites work: Contrast structures in multidimensional singularly perturbed reaction-diffusion-advection problems
cites work: Existence and asymptotic stability of periodic solutions with an interior layer of reaction-advection-diffusion equations
cites work: Existence and Stability of Contrast Structures in Multidimensional Singularly Perturbed Reaction-Diffusion-Advection Problems
cites work: Q4002771
cites work: Existence and stability of solutions with boundary layers in multidimensional singularly perturbed reaction-diffusion-advection problems
full work available at URL: s0001434618110159
OpenAlex ID: W2896667234
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description: scientific article; zbMATH DE number 7037790