Second sound thermoelastic stability of a string/beam structure
نویسندگان
چکیده
In this paper we study a one dimensional thermoelastic transmission problem of special string/beam structure: the two components are coupled at an interface (identified to $ 0 $). Either string or beam is supposed thermoelastic, heat flux given by Cattaneo's law instead usual Fourier's law. We prove that energy decay whole system exponential if thermoelastic. When only coupling decays polynomially zero as \frac{1}{t} and rate can be, most, stable order \frac{1}{t^2} $.
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems - Series S
سال: 2023
ISSN: ['1937-1632', '1937-1179']
DOI: https://doi.org/10.3934/dcdss.2023033