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Existence and stability of a stable stationary solution with a boundary layer for a system of reaction–diffusion equations with Neumann boundary conditionsстатья
- Авторы: Nefedov N.N., Deryugina N.N.
- Журнал: Theoretical and Mathematical Physics
- Том: 212
- Номер: 1
- Год издания: 2022
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- Первая страница: 962
- Последняя страница: 971
- DOI: 10.1134/S0040577922070066
- Аннотация: We consider an initial boundary value problem for a singularly perturbed parabolic system of two reaction–diffusion-type equations with Neumann conditions, where the diffusion coefficients are of different degrees of smallness and the right-hand sides need not be quasimonotonic. We obtain an asymptotic approximation of the stationary solution with a boundary layer and prove existence theorems, the asymptotic stability in the sense of Lyapunov, and the local uniqueness of such a solution. The obtained result is applied to a class of problems of chemical kinetics.
- Добавил в систему: Нефедов Николай Николаевич