Ⅲ型热弹性方程的空间二择性及稳定性

Spatial Alternative and Stability of TypeⅢThermoelastic Equations

考虑了弹性力学中常见的Ⅲ型热弹性方程在一个半无限区域上的空间二择性.假设方程满足一定的初边值条件,利用能量分析法,分别证明了解在一个半无穷柱体上随空间变量要么指数式衰减要么指数式增长.在解的二择性基础上,建立了解对方程组系数的连续依赖性.

The spatial alternative of typeⅢthermoelastic equations in a semi⁃infinite region was considered.The equations were assumed to satisfy certain initial and boundary conditions,and the solution was proved to grow exponentially or alternatively decay exponentially respectively,with spatial variables on a semi⁃infinite cylinder with the energy analysis method.The continuous dependence of solutions on the coefficients of equa⁃tions was established.