Optimal control for multi-phase fluid Stokes problems

被引:7
|
作者
Kunisch, Karl [1 ]
Lu, Xiliang [2 ]
机构
[1] Graz Univ, Inst Math & Sci Comp, A-8010 Graz, Austria
[2] Austrian Acad Sci, Johann Radon Inst Computat & Appl Math RICAM, A-4040 Linz, Austria
关键词
Multi-phase fluids; Optimal control; Optimality system; Artificial diffusion; Renormalized solution; EXISTENCE THEOREM; FLOWS;
D O I
10.1016/j.na.2010.09.014
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Optimal control for a system consistent of the viscosity dependent Stokes equations coupled with a transport equation for the viscosity is studied. Motivated by a lack of sufficient regularity of the adjoint equations, artificial diffusion is introduced to the transport equation. The asymptotic behavior of the regularized system is investigated. Optimality conditions for the regularized optimal control problems are obtained and again the asymptotic behavior is analyzed. The lack of uniqueness of solutions to the underlying system is another source of difficulties for the problem under investigation. Crown Copyright (C) 2010 Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:585 / 599
页数:15
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