Analysis of Generalized Newtonian Fluids

被引:18
作者
Ruzicka, Michael [1 ]
机构
[1] Univ Freiburg, Inst Appl Math, D-79106 Freiburg, Germany
来源
TOPICS IN MATHEMATICAL FLUID MECHANICS, CETRARO, ITALY 2010 | 2013年 / 2073卷
关键词
SHEAR DEPENDENT VISCOSITY; STEADY FLOWS; INCOMPRESSIBLE FLUIDS; EXISTENCE; INTERPOLATION; REGULARITY; SYSTEMS; APPROXIMATION; CONVERGENCE; EQUATION;
D O I
10.1007/978-3-642-36297-2_4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we want to present an optimal existence result for the steady motion of generalized Newtonian fluids. Moreover, we present an optimal error estimate for a FEM approximation of the corresponding steady p-Stokes system. The presented results are based on long lasting cooperations with L. Berselli, L. Diening, J. Málek, A. Prohl and J. Wolf. © 2013 Springer-Verlag Berlin Heidelberg.
引用
收藏
页码:199 / 238
页数:40
相关论文
共 39 条
[1]   REGULARITY FOR MINIMIZERS OF NON-QUADRATIC FUNCTIONALS - THE CASE 1-LESS-THAN-P-LESS-THAN-2 [J].
ACERBI, E ;
FUSCO, N .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 140 (01) :115-135
[2]  
Acerbi E., 2012, SIAM J NUMER ANAL, V50, P373, DOI [10.1137/10080436X, DOI 10.1137/10080436X]
[3]  
[Anonymous], 1994, Metodi diretti nel Calcolo delle Variazioni
[4]  
[Anonymous], 1969, QUELQUES METHODES RE
[5]  
[Anonymous], 1977, FUNCTION SPACES
[6]   ON THE FINITE ELEMENT APPROXIMATION OF p-STOKES SYSTEMS [J].
Belenki, L. ;
Berselli, L. C. ;
Diening, L. ;
Ruzicka, M. .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2012, 50 (02) :373-397
[7]  
BELLOUT H, 1993, CR ACAD SCI I-MATH, V317, P795
[8]   Existence of Strong Solutions for Incompressible Fluids with Shear Dependent Viscosities [J].
Berselli, Luigi C. ;
Diening, Lars ;
Ruzicka, Michael .
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2010, 12 (01) :101-132
[9]  
Bird R.B., 1987, DYNAMIC POLYM LIQUID
[10]  
Brezzi F., 1991, SPRINGER SERIES COMP, V15