A NONLINEAR LAVRENTIEV-BITSADZE MIXED TYPE EQUATION

被引：7

作者：

Chen Shuxing ^{[1
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2011年 / 31卷 / 06期

基金：

中国国家自然科学基金;

关键词：

nonlinear mixed type equation; Tricomi problem; Lavrentiev-Bitsadze equation; partial hodograph transformation; MACH CONFIGURATION;

D O I：

10.1016/S0252-9602(11)60406-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper the Tricomi problem for a nonlinear mixed type equation is studied. The coefficients of the mixed type equation are discontinuous on the line, where the equation changes its type. The existence of solution to this problem is proved. The method developed in this paper can be applied to study more difficult problems for nonlinear mixed type equations arising in gas dynamics.

引用

页码：2378 / 2388

页数：11

共 17 条

[1]

[Anonymous], 1985, MONOGRAPHS STUDIES M

[2]

[Anonymous], 1986, North-Holland Series in Applied Mathematics and Mechanics

[3]

[Anonymous], REND REALE ACCAD LIN

[4]

Bitsadze A. V, 1988, SOME CLASSES PARTIAL, V4

[5]

BITSADZE AV, 1964, DIFFERENTIAL EQUATIO

[6]

BONY JM, 1981, ANN SCI ECOLE NORM S, V14, P209

[7]

Chen S, 2008, J AM MATH SOC, V21, P63

[8] MIXED TYPE EQUATIONS IN GAS DYNAMICS [J].

Chen, Shuxing .

QUARTERLY OF APPLIED MATHEMATICS, 2010, 68 (03) :487-511

[9] Stability of a Mach configuration [J].

Chen, SX .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2006, 59 (01) :1-35

[10] Existence of stationary supersonic flows past a pointed body [J].

Chen, SX .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2001, 156 (02) :141-181

← 1 2 →