About analyticity for the coupled system of linear thermoviscoelastic equations

作者：Alves Margareth S; Munoz Rivera Jaime E; Sepulveda Mauricio^*; Vera Octavio

来源：Applied Mathematics and Computation, 2015, 270: 943-952.

DOI：10.1016/j.amc.2015.08.092

• Thermoviscoelasticity
• Exponential stability
• Analyticity
• Semigroup theory

In this paper we consider the classical linear theory of thermoviscoelasticity for inhomogeneous and anisotropic materials in three dimensional space. We show that under suitable conditions, the semigroup associated with the system of the viscoelastic equation of motion coupled with the parabolic equation of energy is analytic.

• 出版日期2015-11-1