A higher-order porous thermoelastic problem with microtemperatures

被引：2

作者：

Fernandez, J. R. ^{[1
]}

Quintanilla, R. ^{[2
]}

机构：

[1] Univ Vigo, Dept Appl Math 1, ETSI Telecomunicac, Campus Lagoas Marcosende S-N, Vigo 36310, Spain

[2] Univ Politecn Cataluna, Dept Math, Terrassa 08222, Barcelona, Spain

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2023年 / 44卷 / 11期

关键词：

higher order; thermoelasticity; microtemperature; logarithmic convexity method; existence and uniqueness; O414.1; HEAT-CONDUCTION; UNIFIED PROCEDURE; DEFORMABLE MEDIA; CONSTRUCTION; STABILITY; THERMODYNAMICS; CONTINUUM; EQUATIONS; BODIES; MODEL;

D O I：

10.1007/s10483-023-3049-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a porous thermoelastic problem with microtemperatures assuming parabolic higher order in time derivatives for the thermal variables. The model is derived and written as a coupled linear system. Then, a uniqueness result is proved by using the logarithmic convexity method in the case that we do not assume that the mechanical energy is positive definite. Finally, the existence of the solution is obtained by introducing an energy function and applying the theory of linear semigroups.

引用

页码：1911 / 1926

页数：16

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