OPTIMAL DISTRIBUTED CONTROL OF A NONLOCAL CAHN-HILLIARD/NAVIER-STOKES SYSTEM IN TWO DIMENSIONS

被引：47
作者：
Frigeri, Sergio [1 ]
Rocca, Elisabetta [1 ,2 ]
Sprekels, Juergen [1 ,3 ]
机构：
[1] Weierstrass Inst Appl Anal & Stochast, Mohrenstr 39, D-10117 Berlin, Germany
[2] Univ Milan, Dipartimento Matemat, Via Saldini 50, I-20133 Milan, Italy
[3] Humboldt Univ, Inst Math, Unter Linden 6, D-10099 Berlin, Germany
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2016年 / 54卷 / 01期
关键词：
distributed optimal control; first-order necessary optimality conditions; nonlocal models; integrodifferential equations; Navier-Stokes system; Cahn-Hilliard equation; phase separation; DIFFUSE INTERFACE MODEL; LONG-RANGE INTERACTIONS; PHASE-FIELD MODEL; BINARY-FLUID MIXTURES; INCOMPRESSIBLE FLUIDS; PARTICLE-SYSTEMS; TRAJECTORY ATTRACTORS; SEGREGATION DYNAMICS; MULTIPHASE FLOW; 2-PHASE FLOWS;
D O I：
10.1137/140994800
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We study a diffuse interface model for incompressible isothermal mixtures of two immiscible fluids coupling the Navier-Stokes system with a convective nonlocal Cahn-Hilliard equation in two dimensions of space. We apply recently proved well-posedness and regularity results in order to establish existence of optimal controls as well as first-order necessary optimality conditions for an associated optimal control problem in which a distributed control is applied to the fluid flow.
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收藏
页码：221 / 250
页数：30
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