Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Global existence in nonlinear hyperbolic thermoelasticity with radial symmetry

Author: Tilman Irmscher
Journal: Quart. Appl. Math. 69 (2011), 39-55
MSC (2000): Primary 74F05, 74H40
Published electronically: December 30, 2010
MathSciNet review: 2807976
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Abstract: In this paper we consider a nonlinear system of hyperbolic thermoelasticity in two or three dimensions with DIRICHLET boundary conditions in the case of radial symmetry. We prove the global existence of small, smooth solutions and the exponential stability.

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Additional Information

Tilman Irmscher
Affiliation: Department of Mathematics and Statistics, University of Konstanz, Germany
Email: tilman.irmscher@web.de

DOI: https://doi.org/10.1090/S0033-569X-2010-01190-1
Received by editor(s): April 8, 2009
Published electronically: December 30, 2010
Article copyright: © Copyright 2010 Brown University
The copyright for this article reverts to public domain 28 years after publication.

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