Geodesic
Exponential stability of a flexible structure with history and thermal effect
Applications of Mathematics, Tome 65 (2020) no. 4, pp. 407-420

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In this paper we study the asymptotic behavior of a system composed of an integro-partial differential equation that models the longitudinal oscillation of a beam with a memory effect to which a thermal effect has been given by the Green-Naghdi model type III, being physically more accurate than the Fourier and Cattaneo models. To achieve this goal, we will use arguments from spectral theory, considering a suitable hypothesis of smoothness on the integro-partial differential equation.
DOI : 10.21136/AM.2020.0117-19
Classification : 35B40, 45N05, 74K10
Keywords: exponential stability; dissipative system; flexible structure; functional analysis 
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Díaz, Roberto; Muñoz, Jaime; Martínez, Carlos; Vera, Octavio. Exponential stability of a flexible structure with history and thermal effect. Applications of Mathematics, Tome 65 (2020) no. 4, pp. 407-420. doi: 10.21136/AM.2020.0117-19

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