Moore-Gibson-Thompson theory for thermoelastic dielectrics  

作　　者：J.R.FERNANDEZ R.QUINTANILLA 

机构地区：[1]Department of Applied Mathematics I,University of Vigo,Campus As Lagoas Marcosende,Vigo 36310,Spain [2]Department of Mathematics,Polytechnic University of Catalonia,Terrassa 08222,Spain

出　　处：《Applied Mathematics and Mechanics(English Edition)》2021年第2期309-316,共8页应用数学和力学（英文版）

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.

关 键 词：Moore-Gibson-Thompson(MGT)thermoelastic dielectrics existence SEMIGROUP exponential decay 

分 类 号：O343.6[理学—固体力学]