Stabilization of a system of anisotropic thermoelasticity by nonlinear boundary and internal feedbacks-Reference-Cited by-同舟云学术

Stabilization of a system of anisotropic thermoelasticity by nonlinear boundary and internal feedbacks

Published:2005-07-11 Issue:3 Volume:63 Page:429-453
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Heminna Amar,Nicaise Serge,Sène Abdoulaye

Abstract

We consider the stabilization of an anisotropic thermoelasticity system with a natural Neumann boundary condition on part of the boundary and combined nonlinear internal and boundary feedbacks. We then give an answer to a problem raised by Liu and Zuazua.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/2005-63-03/S0033-569X-05-00967-4/S0033-569X-05-00967-4.pdf

Reference22 articles.

1. Boundary stabilization of a linear elastodynamic system with variable coefficients;Bey, Rabah;Electron. J. Differential Equations,2001

2. Stabilisation frontière du système élastodynamique dans un polygone plan;Brossard, Romain;C. R. Math. Acad. Sci. Paris,2004

3. Decay rates for solutions of a Maxwell system with nonlinear boundary damping;Eller, M.;Comput. Appl. Math.,2002

4. Existence globale et stabilisation frontière non linéaire d’un système d’élasticité;Guesmia, A.;Portugal. Math.,1999

5. Exponential energy decay in a linear thermoelastic rod;Hansen, Scott W.;J. Math. Anal. Appl.,1992

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