Geodesic
Exponential stability of a von Kármán model with thermal effects
Electronic Journal of Differential Equations, Tome 1998 (1998).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 35M10, 73B30
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},
     publisher = {mathdoc},
     volume = {1998},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a34/}
}
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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/