论文标题

粘弹性波方程的传输问题的控制和指数稳定性

Control and exponential stability for a transmission problem of a viscoelastic wave equation

论文作者

Buffe, Remi, Cavalcanti, Marcelo, Cavalcanti, Valéria Domingos, Gagnon, Ludovick

论文摘要

在本文中,我们考虑了异质介质中粘弹性波的能量衰减。更具体地说,培养基由两个不同的均质介质组成,其中一种位于其中一种介质中。我们证明,在记忆项上的几何和分析假设下,溶液能量的指数衰减。

In this article, we consider the energy decay of a viscoelastic wave in an heterogeneous medium. To be more specific, the medium is composed of two different homogeneous medium with a memory term located in one of the medium. We prove exponential decay of the energy of the solution under geometrical and analytical hypothesis on the memory term.

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