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一个简化色谱方程组中复合波的稳定性分析

Stability Analysis of the Composite Wave for a System of Simplified Chromatography Equations
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摘要 主要考虑一个简化的色谱方程组中稀疏波的波前和接解间断相重合而形成的一个复合波,并对这一复合波的稳定性进行简单分析.在分析的过程中,复合波和其它波的相互作用问题将被考虑. In this paper, we are mainly concerned with the composite wave for the simplified chromatography equations, which is formed when the wavefront of rarefaction wave and the contact discontinuity coincide with each other. We make the simple stability analysis on the composite wave. The interactions of the composite wave and the other waves are considered during the analysis process.
作者 李德胜 沈春
出处 《数学的实践与认识》 CSCD 北大核心 2013年第15期234-239,共6页 Mathematics in Practice and Theory
基金 国家自然科学基金(11001116) 山东省自然科学基金(ZR2010AL012) 山东省高等学校科技计划项目(J11LA03)
关键词 色谱方程 复合波 波的相互作用 RIEMANN问题 chromatography equations composite wave wave interaction Riemann problem
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参考文献9

  • 1Ambrosio L, Crippa G, Figalli A and Spinolo L A. Some new well-posedness results for continuity and transport equations and applications to the chromatography system[J]. SIAM J Math Anal, 2009(41): 1890-1920. 被引量:1
  • 2Sun M. Delta shock waves for the chromatography equations as self-similar viscosity limits[J]. Quar- terly of Applied Mathematics, 2011(69): 425-443. 被引量:1
  • 3Sun M. Interactions of delta shock waves for the chromatography equations[J]. Appl Math Lett, 2013(26): 631-637. 被引量:1
  • 4Shen C. Wave interactions .and stability of the Riemann solutions for the chromatography equa- tions[J]. J Math Anal Appl, 2010(365): 609-618. 被引量:1
  • 5Wang G. One-dimensional non-linear chromatography system and -shock waves[J]. Z Angew Math Phys, DOI:10.1007/s00033-013-0300-xl in press. 被引量:1
  • 6Temple B., Systems of conservation laws with invariant submanifolds, Trans Amer Math Soc, 1983(280): 781-795. 被引量:1
  • 7Sun M. Interactions of elementary waves for Aw-Rascle model[J]. SIAM J Appl Math, 2009(69): 1542-1558. 被引量:1
  • 8Chang T and Hsiao L. The Riemann Problem and Interaction of Waves in Gas Dynamics, Pitman Monographs and Surveys in Pure and Applied Mathematics 41, Longman Scientific and Technical, 1989. 被引量:1
  • 9Smoller J. Shock Waves and Reaction-Diffusion Equations[M]. Springer-Verlag, NewYork, 1994. 被引量:1

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