Exact Boundary Controllability for a System of Coupled Wave Equations in Noncylindrical Domains

被引：0

作者：

Nunes, Ruikson. S. O. ^{[1
]}

机构：

[1] UFMT Fed Univ Mato Grosso, Dept Math, Cuiaba, MT, Brazil

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2025年 / 48卷 / 06期

关键词：

coupled wave equations; exact boundary controllability; noncylindrical domains; TRANSVERSE VIBRATIONS; STABILIZATION; PART;

D O I：

10.1002/mma.10706

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns to study an exact boundary controllability problem for a system of m$$ m $$ coupled wave equations in domains with moving boundaries. Such systems model the vibrations of m$$ m $$ identical flexible bodies coupled in parallel by means of an elastic layer where their boundaries present a bounded movement. The control is square integrable and acts on all moving boundary, and it is obtained by means of conormal derivative of the solution. The controllability method used here is that one established by D. L. Russell.

引用

页码：6671 / 6677

页数：7

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