数学物理学报 ›› 2013, Vol. 33 ›› Issue (5): 801-818.

• 论文 •    下一篇

一类混合型粘弹性力学方程组的Riemann问题

刘小民|王振   

  1. 中国科学院武汉物理与数学研究所 武汉 |430071
  • 收稿日期:2012-05-31 修回日期:2013-05-20 出版日期:2013-10-25 发布日期:2013-10-25
  • 基金资助:

    国家自然科学基金(11171340)资助.

The Riemann Problem for a System of Nonlinear Elasticity of |Mixed Type

 LIU Xiao-Min, WANG Zhen   

  1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071
  • Received:2012-05-31 Revised:2013-05-20 Online:2013-10-25 Published:2013-10-25
  • Supported by:

    国家自然科学基金(11171340)资助.

摘要:

研究了一类结晶聚合物模型中的粘弹性力学方程组的Riemann问题. 该模型方程组含有双曲-椭圆混合情形并在一段区间完全双曲退化. 利用Liu -熵条件, 精细地刻画了所有基本波的性质, 完整地构造了Riemann问题的解.

关键词: 粘弹性力学方程组, 混合型, Riemann问题, Liu -熵条件

Abstract:

In this paper, we study the Riemann problem for a system of nonlinear elasticity in a crystalline polymer model. The system contains a hyperbolic-elliptic situation and is hyperbolic degenerated in another region. We use the Liu-entropy condition to analysis the properties of all the basic waves, then we construct the solutions for the Riemann problem.

Key words: System of nonlinear elasticity, Mixed type, Riemann problem,  Liu-entropy condition

中图分类号: 

  • 35L60