论文标题

弱耦合的粘弹性kirchhoff板和波动方程的稳定

Stabilization of weakly coupled viscoelastic Kirchhoff plate and wave equations

论文作者

Hajjej, Zayd, Akil, Mohammad, Balegh, Mohamed, Cavalcanti, Marcelo

论文摘要

在本文中,我们考虑了一个弱耦合的系统,该系统由涉及自由边界条件的粘弹性Kirchhoff板方程组成,以及在有界域中具有Dirichlet边界条件的粘弹性波方程。通过假设更通用的放松功能,我们使用乘数方法和凸函数的某些属性建立了显式和一般的衰减率结果。

In this paper, we consider a weakly coupled system consisting of a viscoelastic Kirchhoff plate equation involving free boundary conditions and the viscoelastic wave equation with Dirichlet boundary conditions in a bounded domain. By assuming a more general type of relaxation functions, we establish explicit and general decay rate results, using the multiplier method and some properties of the convex functions.

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