一类奇摄动非线性激波问题

数学季刊 ›› 2008, Vol. 23 ›› Issue (3): 330-336.

一类奇摄动非线性激波问题

Department of Mathematics,Huzhou Teachers College

收稿日期:2005-01-25 出版日期:2008-09-30 发布日期:2023-09-20
作者简介:OUYANG Cheng(1964- ), female, native of Taining, Fujian, a professor of Huzhou Teachers College, M.S.D., engages in singular perturbation theory.
基金资助:
Supported by the National Natural Science Foundation of China(10471039)；Supported by the E-Institutes of Shanghai Municipal Education Commission(E03004)；Supported by the Natural Science Foundation of Zhejiang Province(Y606268)；

A Class of Singularly Perturbed Nonlinear Shock Problems

Department of Mathematics,Huzhou Teachers College

Received:2005-01-25 Online:2008-09-30 Published:2023-09-20
About author:OUYANG Cheng(1964- ), female, native of Taining, Fujian, a professor of Huzhou Teachers College, M.S.D., engages in singular perturbation theory.
Supported by:
Supported by the National Natural Science Foundation of China(10471039)；Supported by the E-Institutes of Shanghai Municipal Education Commission(E03004)；Supported by the Natural Science Foundation of Zhejiang Province(Y606268)；

摘要/Abstract

摘要： Using the method of matched asymptotic expansions, the shock solutions for a class of singularly perturbed nonlinear problems are discussed. The relation of the shock solutions and their boundary conditions is obtained. And the known results are generalized.

关键词: nonlinear problem, shock wave, boundary layer, matching

Abstract: Using the method of matched asymptotic expansions, the shock solutions for a class of singularly perturbed nonlinear problems are discussed. The relation of the shock solutions and their boundary conditions is obtained. And the known results are generalized.

Key words: nonlinear problem, shock wave, boundary layer, matching

中图分类号:

O175

欧阳成 . 一类奇摄动非线性激波问题[J]. 数学季刊, 2008, 23(3): 330-336.

OUYANG Cheng. A Class of Singularly Perturbed Nonlinear Shock Problems[J]. Chinese Quarterly Journal of Mathematics, 2008, 23(3): 330-336.

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