An investigation of the Green–Lindsay three-dimensional model
2017 ◽
Vol 23
(7)
◽
pp. 987-1003
◽
Keyword(s):
In this paper we consider the Green and Lindsay nonclassical 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.
2018 ◽
Vol 226
◽
pp. 04027
◽
2009 ◽
Vol 06
(03)
◽
pp. 577-614
◽
2003 ◽
Vol 26
(9)
◽
pp. 759-781
◽
2009 ◽
Vol 19
(07)
◽
pp. 1099-1138
◽
1987 ◽
Vol 304
(2)
◽
pp. 751-751
◽