Singular perturbations occur when a small coefficient affects the highest order derivatives in
a system of partial differential equations. From the physical point of view, singular …

In this article, we review recent progresses in boundary layer analysis of some singular
perturbation problems. Using the techniques of differential geometry, an asymptotic …

Our aim in this article is to study the numerical solutions of singularly perturbed convection–
diffusion problems in a circular domain and provide as well approximation schemes, error …

The goal of this article is to study the boundary layers of reaction–diffusion equations in a
circle and provide some numerical applications which utilize the so-called boundary layer …

We study the asymptotic behavior, at small viscosity ε, of the Navier–Stokes equations in a
2D curved domain. The Navier–Stokes equations are supplemented with the slip boundary …

This paper is concerned with a complete asymptotic analysis as $\mathfrak {E}\to 0$ of the
stationary Munk equation $\partial _x\psi-\mathfrak {E}\Delta^ 2\psi=\tau $ in a domain …

We study the boundary layers and singularities generated by a convection-diffusion
equation in a circle with noncompatible data. More precisely, the boundary of the circle has …

The singularly perturbed problems with a turning point were discussed in [21]. The case
where the limit problem is compatible with the given data was fully resolved. However, with …

This paper is devoted to boundary layer theory for singularly perturbed convection-diffusion
equations in the unit circle. Two characteristic points appear, $(\pm 1, 0) $, in the context of …

A linear singularly perturbed elliptic problem, of convection-diffusion type, posed on a
circular domain is examined. Regularity constraints are imposed on the data in the vicinity of …