具有延迟项的III型热弹性层合梁的适定性和指数衰减

Q4 Mathematics Mathematica Pub Date : 2021-06-30 DOI:10.24193/MATHCLUJ.2021.1.06

Douib Madani, S. Zitouni, Djebabla Abdelhak

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引用次数: 1

摘要

我们研究了第一方程中具有延迟项的III型热弹性层合梁解的适定性和渐近性。我们利用Lumer-Philips定理证明了系统是适定的，并证明了当且仅当波速相等时系统是指数稳定的。

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Well-posedness and exponential decay for a laminated beam in thermoelasticity of type III with delay term

We study the well-posedness and asymptotic behaviour of solutions to a laminated beam in thermoelasticity of type III with delay term in the first equation. We show that the system is well-posed by using Lumer-Philips theorem and prove that the system is exponentially stable if and only if the wave speeds are equal.

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Mathematica Mathematics-Mathematics (all)

CiteScore

0.30

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0.00%

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