ASYMPTOTICS OF SOLUTIONS TO A FIRST-ORDER PARTIAL DIFFERENTIAL EQUATION WITH A POWER-LAW BOUNDARY LAYER

Abstract

In the article, a regularized asymptotic of any order of a mixed problem for a first-order partial differential equation is constructed, when the limit equation has a regular singularity. The constructed asymptotic contains boundary-layer functions of two types: power, exponential, and angular functions. The asymptotic of the solution is constructed by a special class of function corresponding to the structure of the fundamental system of solutions. The asymptotic character of the constructed solution is established.