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

摘要

We consider a dynamical von Karman 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 t --> + infinity. 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 Karman system. (C) 1998 B. G. Teubner Stuttgart-John Wiley & Sons Ltd. [References: 15]