%0 Journal Article
%T Stabilization of a locally damped thermoelastic system
%A J¨¢uber C. Oliveira
%A Ruy C. Char£¿o
%J Computational and Applied Mathematics
%D 2008
%I 
%X We show that the solutions of a thermoelastic system with a localized nonlinear distributed damping decay locally with an algebraic rate to zero, that is, given an arbitrary R > 0, the total energy E(t) satisfies for t > 0: E(t) < C (1 + t)-¦Ã for regular initial data such that E(0) < R, where C and ¦Ã are positive constants. In the two-dimensional case, we obtain an exponential decay rate when the nonlinear dissipation behaves linearly close to the origin.
%K thermoelastic system
%K nonlinear localized damping
%K algebraic decay rate
%K exponential decay rate
%U http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022008000300006