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Periodic Contrast Structures in the Reaction-Diffusion Problem with Fast Response and Weak Diffusionстатья
- Автор: Nefedov N.N.
- Журнал: Mathematical Notes
- Том: 112
- Номер: 4
- Год издания: 2022
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- Первая страница: 588
- Последняя страница: 597
- DOI: 10.1134/S0001434622090279
- Аннотация: Abstract—In this paper, we study a new class of time-periodic solutions with interior transitionlayer of reaction-advection-diffusion equations in the case of a fast reaction and a small diffusion.We consider the case of discontinuous sources (i.e., the nonlinearity describing the interaction andreaction) for a certain value of the unknown function that arise in a number of relevant applications. An existence theorem is proved, asymptotic approximations are constructed, and the asymptotic Lyapunov stability of such solutions as solutions of the corresponding initial-boundary-valueproblems is established.
- Добавил в систему: Нефедов Николай Николаевич