The condensation of excitons into an electron–hole liquid (EHL) and the main EHL
properties in bulk semiconductors and low-dimensional structures are considered. The EHL …

In the paper, a boundary value problem for a singularly perturbed equation of reaction-
diffusion-advection in a two-dimensional domain is considered. The key feature of the …

A two-dimensional singularly perturbed elliptic equation referred to in applications as the
reaction–diffusion equation is considered. The nonlinearity describing the reaction is …

In this project, we study the periodic Dirichlet boundary value problem for a singularly
perturbed reaction-advection-diffusion equation on the segment in case of discontinuous …

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

A piecewise-smooth second-order singularly perturbed differential equation whose right-
hand side is a nonlinear function with a discontinuity on some curve is investigated. This is a …

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

We consider a reaction–diffusion-type equation in a two-dimensional domain containing the
interface between media with distinct characteristics along which the reactive term has a …

This paper concerns the use of asymptotic expansions for the efficient solving of forward and
inverse problems involving a nonlinear singularly perturbed time-dependent reaction …

We study a system of two singularly perturbed first-order equations on an interval. The
equations have discontinuous right-hand sides and equal powers of the small parameter …