Boundary controllability for the 1D Moore-Gibson-Thompson equation

被引：1

作者：

Lizama, Carlos ^{[1
]}

Zamorano, Sebastian ^{[1
]}

机构：

[1] Univ Santiago de Chile, Dept Matemat & Ciencia Comp, Estn Cent, Las Sophoras 175, Santiago 9170020, Chile

来源：

MECCANICA | 2023年 / 58卷 / 06期

关键词：

Moore-Gibson-Thompson equation; Spectral controllability; Approximate controllability; DIFFERENTIAL-EQUATION; NULL CONTROLLABILITY; 3RD-ORDER; MEMORY; EXISTENCE;

D O I：

10.1007/s11012-022-01551-3

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This article addresses the boundary controllability problem for a class of third order in time PDE, known as Moore-Gibson-Thompson equation, with a control supported on the boundary. It is shown that it is not spectrally controllable, which means that nontrivial finite linear combination of eigenvectors can be driven to zero in finite time. This implies that the Moore-Gibson-Thompson equation is not exact and null controllable. However, the approximate controllability will be proved.

引用

页码：1031 / 1038

页数：8

共 42 条

[1]

[Anonymous], 2007, Int. J. Tomogr. Stat.

[2] An inverse problem for Moore-Gibson-Thompson equation arising in high intensity ultrasound [J].