独特性
数学
非线性系统
数学分析
柯西分布
空(SQL)
初值问题
本构方程
简单(哲学)
连接(主束)
平面(几何)
财产(哲学)
物理
几何学
有限元法
计算机科学
认识论
热力学
哲学
数据库
量子力学
作者
W. Domański,Ray W. Ogden
出处
期刊:Archives of Mechanics
日期:2006-01-09
卷期号:58: 339-361
被引量:2
摘要
Smooth solutions to the Cauchy problem for the equations of nonlinear elastodynamics exist typically only locally in time. However, under the assumption of small initial data and an additional restriction, the so-called null condition , global existence and uniqueness of a classical solution can be proved. In this paper, we examine this condition for the elastodynamic equations and study its connection with the property of genuine nonlinearity as well as its relation with the phenomenon of self-resonance of nonlinear elastic waves. Using a special structure of plane waves elastodynamics [13], we provide an alternative and simple formulation of the null condition. This condition is then evaluated for some examples of elastic constitutive laws in order to determine the nature of the restrictions that it imposes.
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