一维非线性弹性力学方程组的Riemann问题  

The Riemann Problem for One-Dimensional System of Nonlinear Elasticity

作　　者：孙文华[1] 

机构地区：[1]上海大学理学院数学系

出　　处：《应用数学与计算数学学报》2007年第1期48-54,共7页Communication on Applied Mathematics and Computation

基　　金：国家自然科学基金(No.10671120).

摘　　要：本文研究了一维非线性弹性力学方程组的Riemann问题.根据左右状态所处的相对位置,分情况构造了问题的唯一整体解.由于激波条件退化,系统的基本波除了稀疏波和激波还包含退化激波.The Riemann problem for the system of nonlinear elasticity is solved. The global solutions according to the relative locations of left and right states are constructively obtained, respectively. For the shock condition of the system is degenerate, the elementary waves of the system involve degenerate shock besides rarefaction wave and shock wave.

关 键 词：非线性弹性力学 RIEMANN问题 Rankine—Hugoiniot关系 熵条件 

分 类 号：O302[理学—力学] O175.29