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 …

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 …

For a singularly perturbed reaction–diffusion–advection equation, called in applications a
Burgers-type equation and having a time-periodic solution with an internal transition layer …

For a singularly perturbed Burgers' type equation with modular advection that has a time-
periodic solution with an internal transition layer, asymptotic analysis is applied to solve the …

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 …

We consider a solution in a moving front form of the initial-boundary value problem for a
singularly perturbed reaction-diffusion equation in a band with periodic conditions in one of …

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

In this paper, we consider the existence, local uniqueness, and asymptotic stability of a
solution of the boundary-layer type for a nonlinear one-dimensional initial-boundary …