Decay estimates for a thermoelastic system in waveguides
M. Dreher and Y. Wang
Abstract.
We investigate the linear system of thermoelasticity, consisting of an
elasticity equation and a heat conduction equation, in a waveguide
with certain boundary conditions. We consider
the cases of homogeneous and inhomogeneous systems and prove decay
estimates of the solutions, which are a key ingredient to showing the
global existence of solutions to nonlinear thermoelasticity, after having
decomposed the solutions into various parts. We also give a simplified
proof to the representation of the solutions to the Cauchy problem of
thermoelasticity.
J. Differential Equations
248
(2010), 2368-2398.
A preprint version is available here:
pdf.
