Exponential decay rates for a full von Karman thermoelastic system with nonlinear thermal coupling

Free access article

Issue		ESAIM: Proc. Volume 8, 2000 Contrôle des systèmes gouvernés par des équations aux dérivées partielles


Page(s)		13 - 38
DOI		http://dx.doi.org/10.1051/proc:2000002

ESAIM: Proc., 2000, Vol. 8, pp. 13-38
DOI: 10.1051/proc:2000002

Exponential decay rates for a full von Karman thermoelastic system with nonlinear thermal coupling

Assia Benabdallah¹ and Irena Lasiecka²

¹ Laboratoire de Calcul Scientifique et UMR 6623, Université de Franche Comté, 25030 Besançon, France
² Department of Mathematics, University of Virginia, Charlottesville, Va 22903

Abstract
The full von Karman system accounting for in plane acceleration and nonlinear thermal effects is considered. The results obtained in this paper: (i) wellposedness of regular and weak (finite energy) solutions, (ii) uniform decay rates of energy function, extend those obtained earlier in (A. Benabdallah and I.Lasiecka) assia-las for a more restrictive model which does not account for the nonlinear thermal coupling.

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