EXISTENCE OF GLOBAL SMOOTH SOLUTIONS FOR TWO IMPORTANT NONSTRICTLY QUASILINEAR HYPERBOLIC SYSTEMS

In this paper, we study the global smooth solutions of the Cauchy problem for two important nonstrictly quasilinear hyperbolic systems, i.e., the isentropic gas dynamics system in Euler coordinates (I) and the rotational degeneracy of hyperbolic systems of conservation laws (II). sufficient conditio...

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Bibliographic Details
Published inActa mathematica scientia Vol. 15; no. 1; pp. 48 - 57
Main Author 朱长江 赵会江
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 1995
Subjects
a priori estimates
estimates
global
global smooth solution
hyperbolic
Nonstrictly
Nonstrictly quasilinear hyperbolic system
priori
quasilinear
smooth
solution
system
global smooth solution
a priori estimates
Nonstrictly quasilinear hyperbolic system
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ISSN0252-9602
1572-9087
DOI10.1016/S0252-9602(18)30022-5

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Summary:In this paper, we study the global smooth solutions of the Cauchy problem for two important nonstrictly quasilinear hyperbolic systems, i.e., the isentropic gas dynamics system in Euler coordinates (I) and the rotational degeneracy of hyperbolic systems of conservation laws (II). sufficient conditions which guarantee the existence of global smooth solutions of the Cauchy problems (I) and (II) are obtained by employing the characteristic method.
Bibliography:Zhu Changjiang;Zhao Huijang(Wuhan Inst.of Math.Sci,Chin.Acad.of Sci, Wuhan 430071,China.)
42-1227/O
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(18)30022-5