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

数学物理学报(英文版) ›› 1995, Vol. 15 ›› Issue (1): 48-57.

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

朱长江, 赵会江

Wuhan Inst. of Math. Sci, Chin. Acad. of Sci, Wuhan 430071, China

收稿日期:1992-03-26 出版日期:1995-03-25 发布日期:1995-03-25
基金资助:
This work was supported by Youth Foundation, NSFC.

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

Zhu Changjiang, Zhao Huijiang

Wuhan Inst. of Math. Sci, Chin. Acad. of Sci, Wuhan 430071, China

Received:1992-03-26 Online:1995-03-25 Published:1995-03-25
Supported by:
This work was supported by Youth Foundation, NSFC.

摘要/Abstract

摘要： 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 gloats smooth solutions of the Cauchy problems (Ⅰ) and (Ⅱ) are obtained by employing the characteristic method.

关键词: Nonstrictly quasilinear hyperbolic system, a priori estimates, global smooth solution

Abstract: 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 gloats smooth solutions of the Cauchy problems (Ⅰ) and (Ⅱ) are obtained by employing the characteristic method.

Key words: Nonstrictly quasilinear hyperbolic system, a priori estimates, global smooth solution

朱长江, 赵会江. EXISTENCE OF GLOBAL SMOOTH SOLUTIONS FOR TWO IMPORTANT NONSTRICTLY QUASILINEAR HYPERBOLIC SYSTEMS[J]. 数学物理学报(英文版), 1995, 15(1): 48-57.

Zhu Changjiang, Zhao Huijiang. EXISTENCE OF GLOBAL SMOOTH SOLUTIONS FOR TWO IMPORTANT NONSTRICTLY QUASILINEAR HYPERBOLIC SYSTEMS[J]. Acta mathematica scientia,Series B, 1995, 15(1): 48-57.

[1]	杨永富, 琚强昌, 周爽. THE GLOBAL COMBINED QUASI-NEUTRAL AND ZERO-ELECTRON-MASS LIMIT OF NON-ISENTROPIC EULER-POISSON SYSTEMS[J]. 数学物理学报(英文版), 2022, 42(4): 1666-1680.
[2]	刘玲君, 石飞林. POSITIVE SOLUTIONS OF A NONLOCAL AND NONVARIATIONAL ELLIPTIC PROBLEM[J]. 数学物理学报(英文版), 2021, 41(5): 1764-1776.
[3]	向建立, 严国政. UNIQUENESS OF THE INVERSE TRANSMISSION SCATTERING WITH A CONDUCTIVE BOUNDARY CONDITION[J]. 数学物理学报(英文版), 2021, 41(3): 925-940.
[4]	廖杰, 王倩蓉, 杨雄锋. STABILITY OF GLOBAL MAXWELLIAN FOR NON-LINEAR VLASOV-POISSON-FOKKER-PLANCK EQUATIONS[J]. 数学物理学报(英文版), 2019, 39(1): 127-138.
[5]	冯跃红, 王术, 李新. ASYMPTOTIC BEHAVIOR OF GLOBAL SMOOTH SOLUTIONS FOR BIPOLAR COMPRESSIBLE NAVIER-STOKES-MAXWELL SYSTEM FROM PLASMAS[J]. 数学物理学报(英文版), 2015, 35(5): 955-969.
[6]	曹高伟, 胡凯, 杨小舟. FORMULA OF GLOBAL SMOOTH SOLUTION FOR NON-HOMOGENEOUS M-D CONSERVATION LAW WITH UNBOUNDED INITIAL VALUE[J]. 数学物理学报(英文版), 2015, 35(2): 508-526.
[7]	范丽丽, 刘红霞, 尹慧. DECAY ESTIMATES OF PLANAR STATIONARY WAVES FOR DAMED WAVE EQUATIONS WITH NONLINEAR CONVECTION IN#br# MULTI-DIMENSIONAL HALF SPACE[J]. 数学物理学报(英文版), 2011, 31(4): 1389-1410.
[8]	Sadek Gala. REMARK ON THE BLOW-UP CRITERION OF STRONG SOLUTIONS TO THE NAVIER-STOKES EQUATIONS IN MULTIPLIER SPACES[J]. 数学物理学报(英文版), 2010, 30(5): 1413-1418.
[9]	姚磊; 汪文军. COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY, VACUUM AND GRAVITATIONAL FORCE IN THE CASE OF GENERAL PRESSURE[J]. 数学物理学报(英文版), 2008, 28(4): 801-817.
[10]	闻国椿, 黄沙. AN IRREGULAR OBLIQUE DERIVATIVE PROBLEM FOR SOME NONLINEAR ELLIPTIC EQUATIONS OF SECOND ORDER[J]. 数学物理学报(英文版), 1998, 18(3): 271-277.
[11]	江成顺, 李海峰. GLOBAL EXISTENCE OF SOLUTIONS FOR A STRONGLY COUPLED REACTION-DIFFUSION SYSTEM[J]. 数学物理学报(英文版), 1998, 18(1): 1-10.
[12]	朱长江. THE CAUCHY PROBLEMS FOR HIGH DIMENSIONAL QUASILINEAR HYPERBOLIC SYSTEMS[J]. 数学物理学报(英文版), 1996, 16(2): 209-217.

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

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

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 12

Metrics

本文评价

推荐阅读 0