𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Global existence and exponential stability in one-dimensional nonlinear thermoelasticity with thermal memory

✍ Scribed by Jaime E. Muñoz Rivera; Yuming Qin


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
167 KB
Volume
51
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Exponential stability in one-dimensional
✍ 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

Nonlinear damped Timoshenko systems with
✍ Salim A. Messaoudi; Michael Pokojovy; Belkacem Said-Houari 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 223 KB

## Abstract In this paper, we consider nonlinear thermoelastic systems of Timoshenko type in a one‐dimensional bounded domain. The system has two dissipative mechanisms being present in the equation for transverse displacement and rotation angle—a frictional damping and a dissipation through hyperb

Stability of global and exponential attr
✍ Gianluca Mola 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 268 KB

## Abstract We consider a conserved phase‐field system on a tri‐dimensional bounded domain. The heat conduction is characterized by memory effects depending on the past history of the (relative) temperature ϑ, which is represented through a convolution integral whose relaxation kernel __k__ is a su

Existence and global exponential stabili
✍ Zhengqiu Zhang; Kaiyu Liu 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 486 KB

In this paper, we first investigate the existence of a periodic solution to interval general bidirectional associative memory (BAM) neural networks with multiple delays on time scales by the continuation theorem of coincidence degree theory. Then, by constructing a Lyapunov functional, we discuss th