Exact boundary controllability of nodal profile for quasilinear hyperbolic systems in a tree-like network

被引：13
|
作者：
Gu, Qilong [2 ]
Li, Tatsien [1 ,3 ,4 ]
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
[3] Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China
[4] Fudan Univ, Nonlinear Math Modeling & Methods Lab, Shanghai 200433, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2011年 / 34卷 / 08期
关键词：
exact boundary controllability; nodal profile; quasilinear hyperbolic system; tree-like network; OPEN CANALS; SUPERCRITICAL FLOWS; UNSTEADY FLOWS;
D O I：
10.1002/mma.1410
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the exact boundary controllability of nodal profile is established for quasilinear hyperbolic systems with general nonlinear boundary and interface conditions in a tree-like network with general topology. The basic principles for giving nodal profiles and for choosing boundary controls are presented, respectively. Copyright (C) 2011 John Wiley & Sons, Ltd.
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页码：911 / 928
页数：18
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