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Stabilization of a Traveling Front Solution in a Reaction–Diffusion Equationстатья
- Авторы: Kotsubinsky K.A., Levashova N.T., Melnikova A.A.
- Журнал: Moscow University Physics Bulletin
- Том: 76
- Номер: 6
- Год издания: 2021
- Издательство: Allerton Press
- Местоположение издательства: New York, N.Y., United States
- Первая страница: 413
- Последняя страница: 423
- DOI: 10.3103/S0027134921060059
- Аннотация: This paper investigates issues related to the stabilization of a front-type solution of a parabolicproblem for a one-dimensional reaction–diffusion equation to the solution of the corresponding stationaryproblem with an interior transition layer. The stabilization result obtained earlier by V.F. Butuzov andI.V. Nedel’ko using the method of parametric barriers is extended in our study by taking the front velocityinto account, which allows us to evaluate the time it takes for the solution of the parabolic problem to bein a small neighborhood of the stationary solution. This result is practically important for the application ofnumerical stabilization methods to solve elliptical problems.
- Добавил в систему: Левашова Наталия Тимуровна