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SOLUTION WITH AN INNER TRANSITION LAYER OF A TWO-DIMENSIONAL BOUNDARY VALUE REACTION–DIFFUSION–ADVECTION PROBLEM WITH DISCONTINUOUS REACTION AND ADVECTION TERMSстатья
Информация о цитировании статьи получена из
Web of Science
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 18 августа 2021 г.
- Авторы: Levashova N.T., Nefedov N.N., Nikolaeva O.A.
- Журнал: Theoretical and Mathematical Physics
- Том: 207
- Номер: 2
- Год издания: 2021
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- Первая страница: 655
- Последняя страница: 669
- DOI: 10.1134/S0040577921050093
- Аннотация: We study the problem of the existence and asymptotic stability of a stationary solution of an initial boundary value problem for the reaction–diffusion–advection equation assuming that the reaction and advectionterms are comparable in size and have a jump along a smooth curve located inside the studied domain.The problem solution has a large gradient in a neighborhood of this curve. We prove theorems on theexistence, asymptotic uniqueness, and Lyapunov asymptotic stability for such solutions using the methodof upper and lower solutions. To obtain the upper and lower solutions, we use the asymptotic methodof differential inequalities that consists in constructing them as modified asymptotic approximations in asmall parameter of solutions of these problems. We construct the asymptotic approximation of a solutionusing a modified Vasil’eva method.
- Добавил в систему: Левашова Наталия Тимуровна