Exponential stability of a von Kármán model with thermal effects
Electronic journal of differential equations, Tome 1998 (1998)
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.
Classification :
35M10, 73B30
Keywords: thermoelastic systems, von Kármán, asymptotic behaviour, exponential stability, semigroup, Lyapunov function
Keywords: thermoelastic systems, von Kármán, asymptotic behaviour, exponential stability, semigroup, Lyapunov function
@article{EJDE_1998__1998__a34,
author = {Benabdallah, Assia and Teniou, Djamel},
title = {Exponential stability of a von {K\'arm\'an} model with thermal effects},
journal = {Electronic journal of differential equations},
year = {1998},
volume = {1998},
zbl = {0990.35125},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a34/}
}
Benabdallah, Assia; Teniou, Djamel. Exponential stability of a von Kármán model with thermal effects. Electronic journal of differential equations, Tome 1998 (1998). http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a34/