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.
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