A System of Singularly Perturbed Parabolic Equations with a Power Boundary Layer

Abstract

The work is devoted to the construction of the asymptotics of the solution of a singularly perturbed system of equations of parabolic type, in the case when the limit equation has a regular singularity as the small parameter tends to zero. The developed algorithm allows construction of the asymptotics of solutions containing power, parabolic, and angular boundary layer functions.