Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Asymptotic stability and global existence in thermoelasticity with symmetry

Authors: S. Jiang, J. E. Muñoz Rivera and R. Racke
Journal: Quart. Appl. Math. 56 (1998), 259-275
MSC: Primary 35Q72; Secondary 35B40, 73B30
DOI: https://doi.org/10.1090/qam/1622566
MathSciNet review: MR1622566
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Abstract: First we prove an exponential decay result for solutions of the equations of linear, homogeneous, isotropic thermoelasticity in bounded regions in two or three space dimensions if the rotation of the displacement vanishes. As a consequence, we describe the decay in radially symmetrical situations, and in a cylinder in $ {\mathbb{R}^{3}}$. Then we establish the global existence of solutions to the corresponding nonlinear equations for small smooth initial data and a certain class of nonlinearities.

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DOI: https://doi.org/10.1090/qam/1622566
Article copyright: © Copyright 1998 American Mathematical Society

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