关于BBM方程的可控性

IF 1 4区数学 Q1 MATHEMATICS

Mathematical Control and Related Fields Pub Date : 2022-01-01 DOI:10.3934/mcrf.2022002

Melek Jellouli

引用次数: 0

摘要

In this article, we consider the nonlinear BBM equation on the torus. We use controls taking values in a finite dimensional space to show that the equation is approximately controllable in \begin{document}$ H^1(\mathbb{T}) $\end{document}. We also show that the equation is not exactly controllable in \begin{document}$ H^s(\mathbb{T}) $\end{document} for \begin{document}$ s\in[1,2[ $\end{document}.

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On the controllability of the BBM equation

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Mathematical Control and Related Fields MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.50

自引率

8.30%

发文量

期刊介绍： MCRF aims to publish original research as well as expository papers on mathematical control theory and related fields. The goal is to provide a complete and reliable source of mathematical methods and results in this field. The journal will also accept papers from some related fields such as differential equations, functional analysis, probability theory and stochastic analysis, inverse problems, optimization, numerical computation, mathematical finance, information theory, game theory, system theory, etc., provided that they have some intrinsic connections with control theory.