The equations of thermoelasticity with time-dependent coefficients

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:350

Article

Weinmann, Olaf

关键词: Hyperbolic thermoelasticity;    Hyperbolic differential equation;    Boundary value problem;    Partial differential equation;    Time-dependent coefficients;   

DOI  :  10.1016/j.jmaa.2008.09.045

来源: Elsevier

【 摘 要 】

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. (c) 2008 Elsevier Inc. All rights reserved.

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