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具粘性项的非严格双曲守恒律组的定态解 被引量:1

Steady Solutions of Nonstrictly Hyperbolic Systems of Conservation Laws with Viscosity Terms
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摘要 研究具有一类合理粘性项的一个非严格双曲守恒律方程组的定态解.证明了对任何满足u+<u的两个状态,该粘性方程组存在唯一解.当粘性系数趋于零时。 Studies steady solutions of a nonstrictly hyperbolic system of conservation laws to which a reasonable viscosity term has been added.We prove that for any two states which satisfies u +<u -,there exists a unique solution to the viscous system.As the viscosity coefficient tends toward zero,the ω * limit in L 1of the solution is the δ-shock wave for the hyperbolic system.
作者 杨汉春
机构地区 云南大学数学系
出处 《云南大学学报(自然科学版)》 CAS CSCD 1997年第3期304-308,共5页 Journal of Yunnan University(Natural Sciences Edition)
基金 国家自然科学基金
关键词 非线性 双曲守恒律组 粘性项 定态解 hyperbolic,conservation laws,viscosity,δ-shock wave
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参考文献3

  • 1Tan D,JDE,1994年,112卷,1期,1页
  • 2Tan D,JDE,1994年,111卷,2期,203页
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同被引文献7

  • 1丁夏畦,王振.用Lebesgue-Stieltjes积分定义的间断解的存在唯一性[J].中国科学(A辑),1996,26(2):109-119. 被引量:3
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  • 3TAN De-chun,ZHANG Tong.Two dimensional Riemann problem fora hyperbolic system of nonlinear conservation laws (Ⅰ):Four-Jcases[J].Journal of Differential Equations,1994,111:203-254.
  • 4TAN De-chun,ZHANG Tong,ZHENG Yu-xi.Delta-shock wavesas limits of vanishing viscosity for hyperbolic systems of conversation laws[J].J Differential Equations,1994,112(1):1-32.
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  • 6LI Jie-quan,YANG Shu-li,ZHANG Tong.The two-dimensional Riemann problem in gas dynamics[M].New York:Longman Scientic and Technical,1998.
  • 7YANG Han-chun.Riemann problem for a class of coupled hyperbolic of conservation laws[J].Journal of Differential Equations,1999,159 (2):447-484.

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