On Some Non-existence Results in a Semilinear Theory of the Dipolar Thermoelastic Bodies

被引：1

作者：

Marin, Marin ^{[1
]}

Radulescu, Vicentiu D. ^{[2
,3
]}

机构：

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

[2] AGH Univ Sci & Technol, Fac Appl Math, Al Mickiewicza 30, PL-30059 Krakow, Poland

[3] Univ Craiova, Dept Math, St AI Cuza 13, Craiova 200585, Romania

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 2021年 / 84卷 / 02期

关键词：

Thermoelasticity without energy dissipation; Dipolar bodies; Semilinear theory; Nonexistence; Instability; EQUATIONS; INSTABILITY; BEHAVIOR; GROWTH;

D O I：

10.1007/s00245-020-09701-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a thermoelastic theory in which the equations that govern the evolution are linear with respect to the thermal displacement and nonlinear with regards to gradients of displacements and temperature. Our results refer to the non-existence of solutions for some mixed problems, considered in this context. We also address the instability of solutions of the considered problems. We will treat separately the case where the mechanical effects are neglected, taking into account only the thermal effect. In this case our problem has a nonlinear structure.

引用

页码：1959 / 1969

页数：11

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