On exponential stability for von Kármán equations in the presence of thermal effects

✍ Scribed by E. Bisognin; V. Bisognin; G. Perla Menzala; E. Zuazua

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 313 KB
• Volume: 21
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/(sici)1099-1476(19980325)21:5<393::aid-mma958>3.0.co;2-j

✦ Synopsis

We consider a dynamical von Ka´rma´n system in the presence of thermal effects. Our model includes the possibility of a rotational inertia term in the system. We show that the total energy of the solution of such system decays exponentially as tP# R. The decay rates we obtain are uniform on bounded sets of the energy space. The main ingredients of our method of proof are suitable properties of a decoupled system, the energy method and the compactness of the nonlinear map associated to the von Ka´rma´n system.