The solution with internal transition layer of the reaction-diffusion equation in case of discontinuous reactive and diffusive termsстатья
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: 16 января 2019 г.
Аннотация:In this paper, we use the asymptotical analysis to construct the asymptotic
approximation of the solution with internal transition layer of the boundary
value problem for a reaction-diffusion equation on the segment in case of discontinuous reactive and diffusive terms. The internal layer is located in the vicinity
of a single point of discontinuity of the mentioned terms. We also investigate
the existence and stability of such solution. For the last purpose, we use the
asymptotical method of differential inequalities.