Abstract

We construct a regularized asymptotics of the solution of the first boundary value problem for a singularly perturbed two-dimensional differential equation of the parabolic type for the case in which the limit equation has a regular singularity. There arise power-law and corner boundary layers along with parabolic ones in such problems.

中文翻译：

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幂律边界层的抛物线问题

摘要

对于极限方程具有规则奇异性的情况，我们构造了抛​​物线型奇摄动二维微分方程第一边值问题解的正则渐近性。在此类问题中，出现了幂律和角边界层以及抛物线边界层。