ON SINGULAR PERTURBATION FOR A NONLINEAR INITIAL-BOUNDARY VALUE PROBLEM (Ⅱ)

被引:1
作者
康连城
机构
[1] Jiangsu Institute of Chemical Technology
[2] Changzhou
关键词
singular perturbation; moving boundary; asymptotic expansion;
D O I
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中图分类号
学科分类号
摘要
<正> In this paper, we consider a singularly perturbed problem of a kind of quasilinear hyperbolic-parabolic equations, subject to initial-boundary value conditions with moving boundary. When certain assumptions are satisfied and e is sufficiently small, the solution of this problem has a generalized asymptotic expansion (in the Van der Corput sense), which takes the sufficiently smooth solution of the reduced problem as the first term, and is uniformly valid in domain Q where the sufficiently smooth solutioh exists. The layer exists in the neighborhood of t=0. This paper is the development of references.
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页码:149 / 157
页数:9
相关论文
共 2 条
[1]   ON THE BOUNDARY LAYER METHODS [J].
江福汝 .
Applied Mathematics and Mechanics(English Edition), 1981, (05) :505-518
[2]  
Asymptotic developments I. Fundamental theorems of asymptotics[J] . J. G. Corput.Journal d’Analyse Mathématique . 1954 (1)