Global Approximate Controllability of the Korteweg-de Vries Equation by a Finite-Dimensional Force

被引：2

作者：

Chen, Mo ^{[1
]}

机构：

[1] Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Sch Math & Stat, Changchun 130024, Peoples R China

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 2023年 / 87卷 / 01期

关键词：

Korteweg-de Vries equation; Approximate controllability; Geometric control theory; NAVIER-STOKES EQUATIONS; BOUNDARY CONTROLLABILITY; KDV EQUATION; EULER; STABILIZABILITY; STABILIZATION; FLUID;

D O I：

10.1007/s00245-022-09924-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the Korteweg-de Vries equation posed on the periodic domain T. We show that the Korteweg-de Vries equation is globally approximately controllable by a two dimensional external force. The proof is based on the Agrachev-Sarychev approach in geometric control theory.

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页数：22

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