𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotic behaviour in n-dimensional thermoelasticity

✍ Scribed by J.E. Muñoz Rivera


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
332 KB
Volume
10
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis


Communicated by M. Slemrod

Abstract--We study the thermoelastic system and we prove that the divergence of the displacement vector field and the thermal difference decay exponentially as time goes to infinity. Moreover, we show that the decay cannot hold in general.


📜 SIMILAR VOLUMES


Asymptotic behaviour for a two-dimension
✍ M. Fabrizio; B. Lazzari; J. M. Rivera 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 221 KB

## Abstract In this paper we study a thermoelastic material with an internal structure which binds the materials fibres to a quadratic behaviour. Moreover, a hereditary constitutive law for heat flux is supposed. We prove results of asymptotic stability and exponential decay for the evolution probl

Asymptotic behaviour and exponential sta
✍ Alfredo Marzocchi; Jaime E. Mut̃oz Rivera; Maria Grazia Naso 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 203 KB

## 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 const

Asymptotic approximations to one-dimensi
✍ Kevin T. Andrews; Meir Shillor 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 817 KB

We compare solutions to coupled and uncoupled versions of three one-dimensional problems of quasistatic thermoelastic contact which model, respectively, the mechanical behaviour of one rod, of two rods and of a cylinder. We show that if a is a nondimensional parameter which is proportional to the co