General energy decay in a Timoshenko-type system of thermoelasticity of type III with a viscoelastic damping
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چکیده
منابع مشابه
Energy decay to Timoshenko's system with thermoelasticity of type III
L.H. Fatori a,∗, J.E. Muñoz Rivera b and R. Nunes Monteiro a a Department of Mathematics, Universidade Estadual de Londrina, Campus Universitário, Londrina, CEP 86.051-990, Paraná, Brazil E-mails: [email protected], [email protected] b National Laboratory of Scientific Computations, LNCC/MCT, Rua Getúlio Vargas 333, Quitandinha, Petrópolis, CEP 25651-070, RJ, Brazil and Instituto...
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on energy decay of an n-dimensional thermoelasticity system with a nonlinear weak damping
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15 صفحه اولFrictional versus viscoelastic damping for Timoshenko-type systems
In this paper we consider the following Timoshenko system φtt − (φx + ψ)x = 0, (0, 1)× (0,+∞) ψtt−ψxx + ∫ t 0 g(t−τ)(a(x)ψx(τ))xdτ +φx +ψ+b(x)h(ψt) = 0, (0, 1)×(0,∞) with Dirichlet boundary conditions where a, b, g, and h are specific functions. We establish an exponential and polynomial decay results. This result improves and generalizes some existing results in the literature.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2011
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2010.09.056