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
@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/}
}
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VL  - 1998
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%A Teniou,  Djamel
%T Exponential stability of a von Kármán model with thermal effects
%J Electronic journal of differential equations
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%V 1998
%U http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a34/
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%F 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/