一类守恒律系统中的全局解与有限时间爆破
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  • 英文篇名:Global Smooth Solutions and Finite Blow up in an Conservation Law System
  • 作者:苏利那 ; 杨凤藻
  • 英文作者:SU Li-na;YANG Feng-zao;School of Science,Kunming University of Science and Technology;
  • 关键词:临界点 ; 有限时间爆破 ; 黎曼不变量
  • 英文关键词:critical thresholds;;finite-time blow-up;;Riemann invariants
  • 中文刊名:JZGC
  • 英文刊名:Value Engineering
  • 机构:昆明理工大学理学院;
  • 出版日期:2014-01-18
  • 出版单位:价值工程
  • 年:2014
  • 期:v.33;No.334
  • 语种:中文;
  • 页:JZGC201402172
  • 页数:2
  • CN:02
  • ISSN:13-1085/N
  • 分类号:322-323
摘要
黎曼不变量是研究守恒律系统的一种重要方法,在许多模型中都有广泛的应用。本文利用该方法,研究了欧拉坐标系下的p系统,获得了几个有关解的全局性和有限时刻爆破的临界条件。
        Riemann invariant is an important method to research the conservation law systems, which has been applied widely in many models. Using this approach, this paper deals with the p system in Eulerian coordinates and obtains some critical threshold about the global regularity and finite-time blow-up.
引文
[1]T.Li and H.L.Liu,Critical Thresholds in Relaxation Systems with Resonance of Characteristic Speeds,submitted,2006.
    [2]R.Alexandre,A mathematical model for the evaporation of a liquid fuel droplet,subject to nonlinear constraints.Applied Mathematics and Computation 199(2008):139-154.
    [3]H.L.Liu,E.Tadmor,Critical thresholds in a convolution model for nonlinear conservation laws,SIAM J.Math.Anal.33(2002):930-945.
    [4]T.P.Liu,Hyperbolic conservation laws with relaxation,Comm.Math.Phys,108(1987):153-175.

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