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 | References | Similar Articles | Additional Information

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 . 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