Moore-Gibson-Thompson theory for thermoelastic dielectrics

• 来源期刊: 应用数学和力学（英文版）
• 年，卷（期）: 2021,（2）
• 页码范围: 309-316
• 页数: 8页
• 分类号: O343.6
• 语种: 英文

摘要

We consider the system of equations determining the linear thermoelastic deformations of dielectrics within the recently called Moore-Gibson-Thompson(MGT)theory.First,we obtain the system of equations for such a case.Second,we consider the case of a rigid solid and show the existence and the exponential decay of solutions-Third,we consider the thermoelastic case and obtain the existence and the stability of the solutions.Exponential decay of solutions in the one-dimensional case is also recalled.