✦ LIBER ✦

Exponential energy decay in a linear thermoelastic rod

✍ Scribed by Scott W Hansen

Publisher: Elsevier Science
Year: 1992
Tongue: English
Weight: 579 KB
Volume: 167
Category: Article
ISSN: 0022-247X
DOI: 10.1016/0022-247x(92)90217-2

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On the Energy Decay of a Linear Thermoel

On the Energy Decay of a Linear Thermoelastic Bar

✍ J.A. Burns; Z.Y. Liu; S.M. Zheng 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 461 KB

Exponential Decay Rates for a Full von K

Exponential Decay Rates for a Full von Karman System of Dynamic Thermoelasticity

✍ Assia Benabdallah; Irena Lasiecka 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 347 KB

Thermoelasticity with second sound—expon

Thermoelasticity with second sound—exponential stability in linear and non-linear 1-d

✍ Reinhard Racke 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 224 KB

## Abstract We consider linear and non‐linear thermoelastic systems in one space dimension where thermal disturbances are modelled propagating as wave‐like pulses travelling at finite speed. This removal of the physical paradox of infinite propagation speed in the classical theory of thermoelastici

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

Local energy decay in linear elastodynam

Local energy decay in linear elastodynamics

✍ Antonio Russo; Alfonsina Tartaglione 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 151 KB

## Communicated by M. Renardy We prove that the solutions of a general initial boundary-value problem of linear elastodynamics in an unbounded domain tend locally to zero as the time tends to +∞, provided the acoustic tensor satisfies the hyperbolicity condition and a non-trapping hypothesis is as

Exponential decay of non-linear wave equ

Exponential decay of non-linear wave equation with a viscoelastic boundary condition

✍ Jaime E. Muñoz Rivera; Doherty Andrade 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 152 KB 👁 2 views

We study in this paper the global existence and exponential decay of solutions of the non-linear unidimensional wave equation with a viscoelastic boundary condition. We prove that the dissipation induced by the memory e!ect is strong enough to secure global estimates, which allow us to show existenc