一类非线性热弹性耦合系统的解的局部存在性

摘要

Local existence of solutions to a nonlinear thermoelasticity system is studied. The system is described by thermoelasticity system with memory type in one part, and by wave equations in the other part. Moreover, the local existence of weak solutions is proved by Galerkin's method, energy methods and linear estimates.%文中讨论了一类非线性热弹性系统的解的局部存在性,该系统一部分由带记忆类型的热弹性方程描述,另一部分由波动方程描述.主要利用伽辽金方法、能量积分法和线性估计证明了弱解的局部存在性.