摘要
考虑非线性、非齐次弹性力学方程组在一定条件下整体熵解的存在性问题．由不变区域理论导出粘性解的L∞模的先验估计，利用粘性消失法结合补偿列紧理论给出粘性解的收敛性，即广义解的存在性．
The existence of global entropy solution for nonlinear and inhomogeneous elastodynamics equations. A prior L∞ estimates of viscosity solution is derived with the help of the theory of invariant regions. By using the vanishing viscosity method together with compensation compactness theory, the convergence of viscosity solution is obtained.
出处
《系统科学与数学》
CSCD
北大核心
2008年第12期1486-1492,共7页
Journal of Systems Science and Mathematical Sciences
基金
南京航空航天大学理学院青年基金(XK-0803)资助项目.
关键词
熵-熵流量
不变区域
补偿列紧理论
Young测度
Entropy-entropy flux, invariant regions, the theory of compensated compactness, young measure.
