On the theory of mixed-type equations

被引：0
|
作者：
Soldatov A.P.
机构：
来源：
Journal of Mathematical Sciences | 2005年 / 129卷 / 1期
基金：
俄罗斯基础研究基金会;
关键词：
Model Equation; Dirichlet Problem; Flow Problem; Profile Flow; Hodograph Plane;
D O I：
10.1007/s10958-005-0306-9
中图分类号：
学科分类号：
摘要：
We briefly review different well-posed boundary-value problems for mixed-type equations and their applications in transonic gas dynamics. We present barotropic relations for plane-parallel flow of a compressible gas that leads to mixed-type model equations on the hodograph plane. We also discuss the question on the existence of transonic solutions of profile flow problems, which is closely related to Dirichlet problems in mixed-type domains. © 2005 Springer Science+Business Media, Inc.
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页码：3670 / 3679
页数：9
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