Benabdallah, Assia; Teniou, Djamel
Exponential stability of a von Kármán model with thermal effects
Electron. J. Differ. Equ. 1998, Paper 7, 13 p. (1998)
Summary: A one-dimensional Von Karman model with thermal effects is studied. We derive the equations that constitute the mathematical model, and prove existence and uniqueness of a global solution. Then using Lyapunov functions, we show that solutions decay exponentially.
Mathematics Subject Classification
thermoelastic systems, von Kármán, asymptotic behaviour, exponential stability, semigroup, Lyapunov function