In this paper, a new asymptotic-numerical approach to solving an inverse boundary value
problem for a nonlinear singularly perturbed parabolic equation with time-periodic …

Asymptotic-numerical approach to solving the coefficient inverse problem for a nonlinear
singularly perturbed two-dimensional reaction–diffusion equation by knowing the location of …

A two-dimensional reaction–diffusion equation in a medium with discontinuous
characteristics is considered; the existence, local uniqueness, and asymptotic stability of its …

In this paper, we consider an inverse backward problem for a nonlinear singularly perturbed
parabolic equation of the Burgers' type. We demonstrate how a method of asymptotic …

The paper presents an analytical-numerical approach to the study of moving fronts in
singularly perturbed reaction–diffusion–advection models. A method for generating a …

Asymptotic analysis of a singularly perturbed reaction—diffusion—advection equation,
which is called a Burgers-type equation in applications and has a solution with a sharp …

Рассматривается двумерное уравнение реакция-диффузия в среде с разрывными
характеристиками, доказываются существование, локальная единственность и …

A periodic front-type solution of a singularly perturbed system of parabolic equations is
considered. The system can be considered as a mathematical model describing a sharp …

Рассматривается периодическое решение типа фронта для сингулярно возмущенной
системы параболических уравнений. Систему можно рассматривать как …

Asymptotic analysis is used to study the existence, local uniqueness, and asymptotic stability
in the sense of Lyapunov of a solution of a one-dimensional nonlinear system of reaction …