| Autor: |
Ramos, AJA, Júnior, DS Almeida, Aouadi, M, Freitas, MM, Barbosa, RC |
| Předmět: |
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| Zdroj: |
Mathematics & Mechanics of Solids; Nov2023, Vol. 28 Issue 11, p2436-2457, 22p |
| Abstrakt: |
In this paper, we provide necessary and sufficient conditions for obtaining the stabilization properties for the one-dimensional Lord–Shulman thermoelastic theory with porosity subject to microtemperature but without temperature where the microtemperature conduction equations are governed by Cattaneo–Maxwell's law. Based on recent results due to Bazarra et al., we introduce a stability number χ 0 involving all coefficients of the system, and we prove that the exponential decay of the corresponding semigroup holds if and only if χ 0 = 0. Otherwise, we show that the system loses exponential stability and its solution decays polynomially with a rate equal to 1 / t . [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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