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 asymptotics of the solution of such problems contains, along with parabolic boundary layer functions, and power boundary layer functions.

中文翻译：

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具有功率边界层的奇摄动抛物方程组

摘要

在极限方程具有规则奇异性且小参数趋于零的情况下，该工作致力于构造一类奇摄动抛物型方程组解的渐近性。解决此类问题的渐近性包括抛物线边界层函数和功率边界层函数。