Optimal control of the viscous generalized Camassa-Holm equation

被引：16
作者：
Shen, Chunyu [1 ,2 ]
Gao, Anna [2 ]
Tian, Lixin [2 ]
机构：
[1] Jiangsu Univ, Dept Student Affairs, Zhenjiang 212013, Jiangsu, Peoples R China
[2] Jiangsu Univ, Fac Sci, Nonlinear Sci Res Ctr, Zhenjiang 212013, Jiangsu, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 03期
关键词：
Viscous generalized Camassa-Holm equation; Optimal control; Optimal solution; SHALLOW-WATER EQUATION; GLOBAL WEAK SOLUTIONS; WELL-POSEDNESS; BURGERS-EQUATION; SOLITARY WAVES; GEODESIC-FLOW; STABILITY; EXISTENCE; MODEL; DECOMPOSITION;
D O I：
10.1016/j.nonrwa.2009.04.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the optimal control problem for the viscous generalized Camassa-Holm equation. We deduce the existence and uniqueness of weak solution to the viscous generalized Camassa-Holm equation in a short interval by using Galerkin method. Then, by using optimal control theories and distributed parameter system control theories, the optimal control of the viscous generalized Camassa-Holm equation under boundary condition is given and the existence of optimal solution to the viscous generalized Camassa-Holm equation is proved (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1835 / 1846
页数：12
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