Existence and Stability of a Front-Type Periodic Solution of a Two-Component System of Parabolic Equations
- Autores: Melnikova A.A.1
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Afiliações:
- Faculty of Physics, Lomonosov Moscow State University
- Edição: Volume 59, Nº 7 (2019)
- Páginas: 1131-1147
- Seção: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/180695
- DOI: https://doi.org/10.1134/S0965542519070108
- ID: 180695
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Resumo
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.
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Sobre autores
A. Melnikova
Faculty of Physics, Lomonosov Moscow State University
Autor responsável pela correspondência
Email: melnikova@physics.msu.ru
Rússia, Moscow, 119991
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