Well-posedness of variational problem for Green-Lindsay dynamic thermoelasticity (Q2831338)

In the paper, based on the initial boundary value problem of Green-Lindsay dynamic thermoelasticity, a corresponding variational problem is formulated in terms of displacements and temperature. The energy equation of the variational problem is used to establish sufficient conditions for regularity of input data of the problem and uniqueness of its solution. The Galerkin semidiscretization by spatial variables is employed to prove the existence of a generalized solution (and as the first step towards the justification of an approximation computation procedure). Furthermore, it is shown that the limit of a sequence of approximations of this semidiscretization is a solution of the variational Green-Lindsay problem.