Some results in Moore-Gibson-Thompson thermoelasticity of dipolar bodies

被引：130

作者：

Marin, Marin ^{[1
]}

Ochsner, Andreas ^{[2
]}

Bhatti, Muhammad Mubashir ^{[3
]}

机构：

[1] Transilvania Univ Brasov, Dept Math & Comp Sci, Brasov 500093, Romania

[2] Esslingen Univ Appl Sci, Fac Mech Engn, D-73728 Esslingen, Germany

[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2020年 / 100卷 / 12期

关键词：

dipolar bodies; instability; Lagrange identities; uniqueness; Moore-Gibson-Thompson theory; EQUATION; GROWTH; MEMORY; MODEL;

D O I：

10.1002/zamm.202000090

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the mixed initial-boundary value problem in the context of the Moore-Gibson-Thompson theory of thermoelasticity for dipolar bodies. We consider the case of heat conduction with dissipation. Even if the elasticity tensors are not supposed to be positively defined, we have proven both, the uniqueness and the instability of the solution of the mixed problem. In the case that the mass density and the thermal conductivity tensor are positive, we obtain the uniqueness of the solution using some Lagrange type identities.

引用

页数：13

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