Author:
Al-Gharabli Mohammad M.,Messaoudi Salim A.
Abstract
Abstract
In this paper, we consider a one-dimensional porous thermoelastic system with second sound and nonlinear feedback. We show the well-posedness, using the semigroup theory, and establish an explicit and general decay rate result, using some properties of convex functions and the multiplier method. Our result is obtained without imposing any restrictive growth assumption on the damping term.
Funder
King Fahd University of Petroleum and Minerals
Reference44 articles.
1. Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping;Differential Integral Equations,1993
2. Exponential decay for linear damped porous thermoelastic systems with second sound;Discrete Contin. Dyn. Syst. Ser. B,2015
3. Exponential stability in thermoelasticity with microtemperatures;Internat. J. Engrg. Sci.,2005
4. The viscoelastic behavior of linear elastic materials with voids;J. Elasticity,1985
5. On the time polynomial decay in elastic solids with voids;J. Math. Anal. Appl.,2008
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献