Steady flow of generalized Newtonian fluid with multivalued rheology and nonmonotone friction law

被引：11

作者：

Dudek, Sylwia ^{[1
]}

Kalita, Piotr ^{[2
]}

Migorski, Stanislaw ^{[3
]}

机构：

[1] Krakow Univ Technol, Fac Phys Math & Comp Sci, Inst Math, Ul Warszawska 24, PL-31155 Krakow, Poland

[2] Jagiellonian Univ Krakow, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland

[3] Lodz Univ Technol, Inst Math, Ul Wolczanska 215, PL-90924 Lodz, Poland

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2017年 / 74卷 / 08期

关键词：

Generalized Newtonian fluid; Multivalued constitutive law; Maximal monotone; Clarke generalized gradient; Frictional contact; INCOMPRESSIBLE FLUIDS; BOUNDARY-CONDITIONS; STOKES FLOWS;

D O I：

10.1016/j.camwa.2017.06.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the stationary incompressible flow of a generalized Newtonian fluid described by a nonlinear multivalued maximal monotone constitutive law and a multivalued nonmonotone frictional boundary condition. We provide results on the existence and uniqueness of a solution to the variational form of the problem. When the multivalued laws are of a subdifferential form, we prove the existence of a solution to a variational-hemivariational inequality for the flow's velocity field. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：1813 / 1825

页数：13

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