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The Motion of the Front in the Reaction–Advection–Diffusion Problem with Periodic Coeffcientsстатья
- Автор: Nikulin E.I.
- Журнал: Moscow University Physics Bulletin
- Том: 77
- Номер: 5
- Год издания: 2022
- Издательство: Allerton Press
- Местоположение издательства: New York, N.Y., United States
- Первая страница: 747
- Последняя страница: 754
- DOI: 10.3103/S0027134922050113
- Аннотация: This paper shows the existence and asymptotic Lyapunov stability of solutions with a movinginner layer (front) in a boundary value problem for a singularly perturbed parabolic reaction–advection–diffusion equation with the periodicity condition in time. In addition, the existence of solutions of this typefor the corresponding initial boundary value problem is proved and a sufficient condition for their attractionto a periodic solution is proposed. For each problem, an asymptotic approximation of the solution isconstructed and the existence and uniqueness theorems for such a solution with the constructed asymptoticbehavior based on the asymptotic method of differential inequalities are proved.
- Добавил в систему: Никулин Егор Игоревич