Renormalization group approach to boundary layer problems

被引：8

作者：

Zhou, Ran ^{[1
]}

Shi, Shaoyun ^{[1
,2
]}

Li, Wenlei ^{[1
]}

机构：

[1] Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China

[2] Jilin Univ, State Key Lab Automot Simulat & Control, Changchun 130012, Jilin, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2019年 / 71卷

基金：

美国国家科学基金会;

关键词：

Renormalization group method; Boundary layer; Matched asymptotic expansion; CIRCULAR-CYLINDER;

D O I：

10.1016/j.cnsns.2018.11.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Renormalization group(RG) method in the singular perturbation theory, originally introduced by Chen et al, has been proved to be very practicable in a large number of singular perturbed problems. In this paper, we firstly reconsider the RG method and give a new formulation of the renormalized procedure. Then we apply our strategy to investigate several kinds of singular perturbed boundary layer problems, our results show that the RG method has the same efficiency as the classical matched asymptotic expansion method, and can be viewed as a preliminary answer to the open problem proposed by Kirkinis. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：220 / 230

页数：11

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