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Asymptotic Solution of the Boundary Control Problem for a Burgers-Type Equation with Modular Advection and Linear Gainстатья
- Авторы: Volkov V.T., Nefedov N.N.
- Журнал: Computational Mathematics and Mathematical Physics
- Том: 62
- Номер: 11
- Год издания: 2022
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- Первая страница: 1849
- Последняя страница: 1858
- DOI: 10.1134/S0965542522110112
- Аннотация: A singularly perturbed periodic problem for a parabolic reaction–diffusion–advectionBurgers-type equation with modular advection and linear gain is considered. Conditions for the existence,uniqueness, and asymptotic Lyapunov stability of a periodic solution with an internal transitionlayer are obtained, and its asymptotic approximation is constructed. Asymptotic analysis is applied insolving the boundary control problem to achieve the required law of front’s motion. The concept of anasymptotic solution of this problem is formulated, sufficient conditions for the existence and uniquenessof the solution are obtained, and an asymptotic approximation of the solution is constructed.
- Добавил в систему: Волков Владимир Тарасович