On investigation of the Green-Lindsay three-dimensional model

Author: Gia Avalishvili
Co-authors: Mariam Avalishvili
Keywords: Nonclassical thermoelasticity, initial-boundary value problem, existence and uniqueness of solution
Annotation:

In the present paper we consider the Green and Lindsay nonclassical three-dimensional model for inhomogeneous anisotropic thermoelastic bodies with two relaxation times, which depend on space variables. We obtain a variational formulation for the initial-boundary value problem corresponding to the Green-Lindsay model. On the basis of the variational formulation we define the spaces of vector-valued distributions corresponding to the initial-boundary value problem and by applying suitable a-priori estimates we prove the existence and uniqueness of the solution, an energy equality, and the continuous dependence of the solution on given data.

Lecture files:

Gia-Avalishvili-GEO-2017 [ka]
Gia-Avalishvili-ENG-2017 [en]