微伸缩半线性热弹性力学材料的有限传播速度  

Finite Propagation Speed of Semilinear Thermoelastic Materials with Microstretch

作　　者：杨林[1] 陈兆惠[1] 黄立宏[1] 

机构地区：[1]湖南大学数学与计量经济学院

出　　处：《湖南大学学报（自然科学版）》2008年第12期54-57,共4页Journal of Hunan University:Natural Sciences

基　　金：国家自然科学基金资助项目(10771055);湖南省自然科学基金资助项目(07JJ3007)

摘　　要：基于微局部观点,利用频谱分析对角化的方法,讨论了一维半线性微伸缩热弹性力学材料的奇性传播问题,证明了该模型柯西问题解的奇性传播具有有限的传播速度.所获结果表明了此类微伸缩固体材料应力集中处的变化规律.Based on microlocal analysis, the propagation of singularities of semilinear thermoelastic materials with microstretch was studied by using the diagnolization of frequency analysis, and the finite propagation speed of singularities of solutions to Cauchy problem of the model was proved. The results show the rule of variation of singularities of semilinear thermoelastic materials with microstretch at stress concentration.

关 键 词：频谱 分析 微伸缩 奇性传播 

分 类 号：O175.29[理学—数学]