Optimal Control of a Viscous Shallow Water Equation

被引：2
|
作者：
Zhang, Wenbin [1 ]
Zhou, Jiangbo [2 ]
机构：
[1] Taizhou Inst Sci & Technol NUST, Taizhou 225300, Jiangsu, Peoples R China
[2] Jiangsu Univ, Fac Sci, Nonlinear Sci Res Ctr, Zhenjiang 212013, Jiangsu, Peoples R China
来源：
ADVANCES IN MATHEMATICAL PHYSICS | 2013年 / 2013卷
关键词：
BLOW-UP PHENOMENA; CAMASSA-HOLM; INTEGRABLE EQUATION; GLOBAL EXISTENCE; WELL-POSEDNESS; BURGERS-EQUATION; WEAK SOLUTIONS; CAUCHY-PROBLEM; STABILITY; DECOMPOSITION;
D O I：
10.1155/2013/715959
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper is concerned with a viscous shallow water equation, which includes both the viscous Camassa-Holm equation and the viscous Degasperis-Procesi equation as its special cases. The optimal control under boundary conditions is given, and the existence of optimal solution to the equation is proved.
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页数：8
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