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Contrast Structures in the Reaction–Diffusion–Advection Equations in the Case of Balanced Advectionстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
- Авторы: Levashova N.T., Nefedov N.N., Yagremtsev A.V.
- Журнал: Computational Mathematics and Mathematical Physics
- Том: 53
- Номер: 3
- Год издания: 2013
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- Первая страница: 273
- Последняя страница: 283
- DOI: 10.1134/S096554251303007X
- Аннотация: For a singularly perturbed parabolic equation termed in applications as the reaction–dif fusion–advection equation, stationary solutions with internal transition layers (contrast structures) are studied. An arbitraryorder asymptotic approximation of such solutions is constructed, and an exist ence theorem is proved. An efficient algorithm for constructing an asymptotic approximation of the transition point is proposed. The constructed asymptotic approximation is justified by applying the asymptotic method of differential inequalities, which is extended to the class of problems under study. This method is also used to establish the Lyapunov stability of such stationary solutions.
- Добавил в систему: Нефедов Николай Николаевич