Existence, uniqueness and regularity of the first boundary-initial value problem for hyperbolic equations system of the thermal stresses theory for temperature-rate-dependent solids
Existence, uniqueness and regularity theorems for a particular displacement-temperature initial-boundary value problem of linear homogeneous isotropic temperature-rate dependent thermoelasticity in which Fourier's law is not violated are given. It is assumed that the region under consideration is bounded, thermomechanical coupling can be ignored, and the displacement-temperature boundary conditions are homogeneous. The theorems sound like those obtained by the author e.g. ibid. 34, 447-460 (1986; Zbl 0621.73004).
displacement-temperature initial-boundary value problem
linear homogeneous isotropic temperature-rate dependent thermoelasticity
scientific article; zbMATH DE number 4022711