Existence and Stability of a Front-Type Periodic Solution of a Two-Component System of Parabolic Equations
Computational Mathematics and Mathematical Physics(2019)
Abstract
A periodic front-type solution of a singularly perturbed system of parabolic equations is considered. The system can be considered as a mathematical model describing a sharp change in the physical characteristics of spatially inhomogeneous media. Such models are used to describe processes in ecology, biophysics, chemical kinetics, combustion physics, and other fields. The existence of a front-type solution is proved, and the asymptotic stability of a periodic solution is established. An algorithm for constructing an asymptotic approximation of the solution is described.
MoreTranslated text
Key words
periodic solution, internal transition layer, stability, singular perturbation
AI Read Science
Must-Reading Tree
Example
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined