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Existence and stability of stationary solutions with boundary layers in a system of fast and slow reaction–diffusion–advection equations with KPZ nonlinearitiesстатья
- Авторы: Nefedov N.N., Orlov A.O.
- Журнал: Theoretical and Mathematical Physics
- Том: 220
- Номер: 1
- Год издания: 2024
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- Первая страница: 1178
- Последняя страница: 1192
- DOI: 10.1134/s0040577924070092
- Аннотация: The existence of stationary solutions of singularly perturbed systems of reaction–diffusion–advection equations is studied in the case of fast and slow reaction–diffusion–advection equations with nonlinearities containing the gradient of the squared sought function (KPZ nonlinearities). The asymptotic method of differential inequalities is used to prove the existence theorems. The boundary layer asymptotics of solutions are constructed in the case of Neumann and Dirichlet boundary conditions. The case of quasimonotone sources and systems without the quasimonotonicity requirement is also considered.
- Добавил в систему: Орлов Андрей Олегович