UNSTEADY FLOWS OF NON-NEWTONIAN FLUIDS IN GENERALIZED ORLICZ SPACES

被引：10

作者：

Wroblewska-Kaminska, Aneta ^{[1
]}

机构：

[1] Polish Acad Sci, Inst Math, PL-00956 Warsaw, Poland

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2013年 / 33卷 / 06期

关键词：

Non-Newtonian fluid; weak solutions; Orlicz spaces; generalized Minty method; nonhomogeneous fluid; incompressible fluid; smart fluids; WEAK SOLUTIONS; EXISTENCE; EQUATIONS;

D O I：

10.3934/dcds.2013.33.2565

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our purpose is to show existence of weak solutions to unsteady flow of non-Newtonian incompressible nonhomogeneous fluids with nonstandard growth conditions of the stress tensor. We are motivated by the fluids of anisotropic behaviour and characterised by rapid shear thickening. Since we are interested in flows with the rheology more general than power-law-type, we describe the growth conditions with the help of an x-dependent convex function and formulate our problem in generalized Orlicz spaces.

引用

页码：2565 / 2592

页数：28

共 50 条

[21] Contraction and expansion flows of non-Newtonian fluids
Abdul, T.
Binding, D.M.
Sindelar, M.
[J]. Composites manufacturing, 1993, 4 (02): : 109 - 116
[22] CERTAIN SECONDARY FLOWS OF NON-NEWTONIAN FLUIDS
MASHELKAR, RA
DEVARAJAN, GV
[J]. JOURNAL OF RHEOLOGY, 1978, 22 (03) : 300 - 300
[23] GLOBAL SOLVABILITY OF THE MULTIDIMENSIONAL EQUATIONS OF COMPRESSIBLE NON-NEWTONIAN FLUIDS, TRANSPORT EQUATION AND THE ORLICZ SPACES
Mamontov, A. E.
[J]. SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2009, 6 : 120 - 165
[24] Numerical modelling of incompressible flows for Newtonian and non-Newtonian fluids
Keslerova, Radka
Kozel, Karel
[J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2010, 80 (08) : 1783 - 1794
[25] A GENERALIZED VELOCITY DISTRIBUTION FOR NON-NEWTONIAN FLUIDS
BRODKEY, RS
LEE, J
CHASE, RC
[J]. AICHE JOURNAL, 1961, 7 (03) : 392 - 393
[26] A NOTE ON UNSTEADY UNIDIRECTIONAL FLOWS OF A NON-NEWTONIAN FLUID
RAJAGOPAL, KR
[J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1982, 17 (5-6) : 369 - 373
[27] Some unsteady unidirectional flows of a non-Newtonian fluid
Hayat, T
Asghar, S
Siddiqui, AM
[J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2000, 38 (03) : 337 - 346
[28] NUMERICAL MODELLING OF STEADY AND UNSTEADY FLOWS OF GENERALIZED NEWTONIAN FLUIDS
Keslerova, Radka
Trdlieka, David
Reznicek, Hynek
[J]. PROGRAMS AND ALGORITHMS OF NUMERICAL MATHEMATICS 18, 2017, : 55 - 62
[29] Applications of non-Newtonian calculus for classical spaces and Orlicz functions
Kuldip Raj
Charu Sharma
[J]. Afrika Matematika, 2019, 30 : 297 - 309
[30] Applications of non-Newtonian calculus for classical spaces and Orlicz functions
Raj, Kuldip
Sharma, Charu
[J]. AFRIKA MATEMATIKA, 2019, 30 (1-2) : 297 - 309

← 1 2 3 4 5 →