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

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

35M10, 73B30

Keywords/Phrases

thermoelastic systems, von Kármán, asymptotic behaviour, exponential stability, semigroup, Lyapunov function

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