Singularly Perturbed Parabolic Problem with Oscillating Initial Condition

被引：1

作者：

Omuraliev, Asan ^{[1
]}

Abylaeva, Ella ^{[1
]}

机构：

[1] Kyrgyz Turkish Manas Univ, Bishkek, Kyrgyzstan

来源：

FILOMAT | 2019年 / 33卷 / 05期

关键词：

Singularly pertubed problems; boundary layer; angular boundary layer; regularized asymptotics;

D O I：

10.2298/FIL1905323O

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to construct regularized asymptotics of the solution of a singularly perturbed parabolic problem with an oscillating initial condition. The presence of a rapidly oscillating function in the initial condition has led to the appearance of a boundary layer function in the solution, which has the rapidly oscillating character of the change. In addition, it is shown that the asymptotics of the solution contains exponential, parabolic boundary layer functions and their products describing the angular boundary layers. Continuing the ideas of works [1, 3] a complete regularized asymptotics of the solution of the problem is constructed.

引用

页码：1323 / 1327

页数：5