𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotic behaviour and exponential stability for a transmission problem in thermoelasticity

✍ Scribed by Alfredo Marzocchi; Jaime E. Mut̃oz Rivera; Maria Grazia Naso

Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
203 KB
Volume
25
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We show that the solution of a semilinear transmission problem between an elastic and a thermoelastic material, decays exponentially to zero. That is, denoting by ℰ(t) the sum of the first, second and third order energy associated with the system, we show that there exist positive constants C and γsatisfying

ℰ(t) ⩽ C__ℰ(0)e^−γ__t^

Moreover, the existence of absorbing sets is achieved in the non‐homogeneous case. Copyright © 2002 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

Asymptotic stability for a non-local pro
Asymptotic stability for a non-local problem in electromagnetism
✍ Carlo Alberto Bosello 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 118 KB

In this paper, constitutive equations of non-local type are coupled with Maxwell equations and the resulting di!erential problem is studied. A weak formulation is given for an initial}boundary-value problem for Maxwell equations in a medium obeying such constitutive equations with perfectly conducti

Stability and asymptotic behaviour in a
Stability and asymptotic behaviour in a reaction–diffusion system
✍ Wei Feng 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 663 KB

## Abstract This paper is concerned with some qualitative analysis for a coupled system of five reaction–diffusion equations which arises from a physiology model. The uniform boundedness of the time‐dependent solution is obtained under various boundary conditions. Sufficient conditions are also giv

Exponential stability in one-dimensional
Exponential stability in one-dimensional non-linear thermoelasticity with second sound
✍ Salim A. Messaoudi; Belkacem Said-Houari 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 209 KB

In this paper, we consider a one-dimensional non-linear system of thermoelasticity with second sound. We establish an exponential decay result for solutions with small 'enough' initial data. This work extends the result of Racke (Math. Methods Appl. Sci. 2002; 25:409 -441) to a more general situatio

Asymptotic behaviour of a non-classical
Asymptotic behaviour of a non-classical heat conduction problem for a semi-infinite material
✍ L. R. Berrone; D. A. Tarzia; L. T. Villa 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 143 KB 👁 2 views

The asymptotic behaviour of a heat conduction problem involving a non-linear heat source depending on the heat-#ux occurring in the extremum of a semi-in"nite slab is discussed. Conditions are given on the non-linearity so as to accelerate the convergence of the solution to zero.

Asymptotic behaviour for a non-monotone
Asymptotic behaviour for a non-monotone fluid in one dimension: the positive temperature case
✍ B. Ducomet 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 130 KB

## Abstract We consider a one‐dimensional continuous model of neutron star, described by a compressible Navier–Stokes system with a non‐monotone equation of state, due to the effective Skyrme nuclear interaction between particles. We study the asymptotic behaviour of globally defined solutions of a