Distributed Control for Shear-Thinning Non-Newtonian Fluids

被引：7
|
作者：
Guerra, Telma [1 ,2 ]
机构：
[1] Escola Super Tecnol, Barreiro Inst Politecn Setubal, P-2839001 Lavradio, Portugal
[2] Univ Nova Lisboa, Fac Ciencias & Tecnol, Ctr Matemat & Aplicacoes, P-2829516 Caparica, Portugal
来源：
JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2012年 / 14卷 / 04期
关键词：
Optimal control; Non-Newtonian fluids; shear-thinning; optimality conditions; NAVIER-STOKES EQUATIONS; DEPENDENT VISCOSITY; REGULARITY; STATE; STABILITY; FLOWS;
D O I：
10.1007/s00021-012-0101-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider optimal control problems of systems governed by quasi-linear, stationary, incompressible Navier-Stokes equations with shear-dependent viscosity in a two-dimensional or three-dimensional domain. We study a general class of viscosity functions with shear-thinning behaviour. Our aim is to prove the existence of a solution for the class of control problems and derive the first order optimality conditions.
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页码：771 / 789
页数：19
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