Existence and Stability of the Periodic Solution with an Interior Transitional Layer in the Problem with a Weak Linear Advection

Existence and Stability of the Periodic Solution with an Interior Transitional Layer in the Problem with a Weak Linear Advection

In the paper, we study a singularly perturbed periodic in time problem for the parabolic reaction-advection-diffusion equation with a weak linear advection. The case of the reactive term in the form of a cubic nonlinearity is considered. On the basis of already known results, a more general formulat...

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Bibliographic Details
Main Authors: Nikolay N. Nefedov, Egor Ig. Nikulin
Format: Article
Language:English
Published: Yaroslavl State University 2018-02-01
Series:Моделирование и анализ информационных систем
Subjects:
singularly perturbed parabolic problems
periodic problems
weak advection
reactionadvection-diffusion equations
contrast structures, internal layers
fronts
asymptotic methods
differential inequalities
lyapunov asymptotical stability
Online Access:https://www.mais-journal.ru/jour/article/view/637
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