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Front Motion in a Problem with Weak Advection in the Case of a Continuous Source and a Modular-Type Sourceстатья
- Авторы: Nefedov N.N., Nikulin E.I., Orlov A.O.
- Журнал: Differential Equations
- Том: 58
- Номер: 6
- Год издания: 2022
- Издательство: Pleiades Publishing, Inc.
- Местоположение издательства: New York, USA
- Первая страница: 757
- Последняя страница: 770
- DOI: 10.1134/S0012266122060052
- Аннотация: We obtain an asymptotic approximation to a moving inner layer (front) solutionof an initial–boundary value problem for a singularly perturbed parabolic reaction–advection– diffusion equation with small advection. We separately consider the case of a continuous source (the nonlinearity describing the interaction and reaction) and the case of a source discontinuity for a certain value of the unknown function, which arises in a number of topical applications. For either problem, an asymptotic approximation to the solution is constructed and existenceand uniqueness theorems for such a solution are proved.
- Добавил в систему: Нефедов Николай Николаевич