Existence and General Decay of Solutions for a Weakly Coupled System of Viscoelastic Kirchhoff Plate and Wave Equations

被引：1

作者：

Hajjej, Zayd ^{[1
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 10期

关键词：

Kirchhoff plate equation; wave equation; weakly coupled equations; asymptotic stability; ASYMPTOTIC-BEHAVIOR; ENERGY; RATES; STABILIZATION;

D O I：

10.3390/sym15101917

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, a weakly coupled system (by the displacement of symmetric type) consisting of a viscoelastic Kirchhoff plate equation involving free boundary conditions and the viscoelastic wave equation with Dirichlet boundary conditions in a bounded domain is considered. Under the assumptions on a more general type of relaxation functions, an explicit and general decay rate result is established by using the multiplier method and some properties of the convex functions.

引用

页数：23

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