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The equations of thermoelasticity with time-dependent coefficients |
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| 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. |
| Keywords: | Hyperbolic thermoelasticity Hyperbolic differential equation Boundary value problem Partial differential equation Time-dependent coefficients |
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