The equations of thermoelasticity with time-dependent coefficients
Authors:
Olaf Weinmann
Affiliation:
Department of Mathematics and Statistics, University of Konstanz, 78457 Konstanz, Germany
Abstract:
We consider an inhomogeneous thermoelastic system with second sound in one space dimension where the coefficients are space- and time-dependent. For Dirichlet-Neumann type boundary conditions the global existence of smooth solutions is proved by using the theory of Kato. Then the asymptotic behavior of the solutions is discussed.