Null controllability of the viscous Camassa–Holm equation with moving control

Proceedings Mathematical Sciences

Peng Gao¹ 

[1]School of Mathematics and Statistics, and Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun 00, People’s Republic of China$$

关键词: Viscous Camassa–Holm equation;    null controllability;    moving control;    moment problem.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, we study the null controllability of the viscous Camassa–Holm equation on the one-dimensional torus. By using a moving distributed control, we obtain that the system is null controllable for a given data with certain regularity.

【 授权许可】

Unknown