A higher-order porous thermoelastic problem with microtemperatures  

作　　者：J.R.FERNáNDEZ R.QUINTANILLA 

机构地区：[1]Department of Applied Mathematics I,University of Vigo,ETSI de Telecomunicacion Campus As Lagoas Marcosende s/n,Vigo 36310,Spain [2]Department of Mathematics,Polytechnical University of Catalunya,Terrassa 08222,Barcelona,Spain

出　　处：《Applied Mathematics and Mechanics(English Edition)》2023年第11期1911-1926,共16页应用数学和力学（英文版）

基　　金：part of the project(No.PID2019-105118GB-I00),funded by the Spanish Ministry of Science,Innovation and Universities and FEDER“A way to make Europe”。

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.

关 键 词：higher order THERMOELASTICITY microtemperature logarithmic convexity method existence and uniqueness 

分 类 号：O414.1[理学—理论物理]