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.

引用

页码：771 / 789

页数：19

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