Global existence in nonlinear hyperbolic thermoelasticity with radial symmetry

Irmscher, Tilman

doi:10.1090/S0033-569X-2010-01190-1

Author: Tilman Irmscher
Journal: Quart. Appl. Math. 69 (2011), 39-55
MSC (2000): Primary 74F05, 74H40
DOI: https://doi.org/10.1090/S0033-569X-2010-01190-1
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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