ON A CLASS OF FLUIDS OF GRADE-3

Authors
AMROUCHE C CIORANESCU D
Citation
C. Amrouche et D. Cioranescu, ON A CLASS OF FLUIDS OF GRADE-3, International journal of non-linear mechanics, 32(1), 1997, pp. 73-88
Citations number
12
Categorie Soggetti
Mechanics
Journal title
International journal of non-linear mechanics → ACNP
ISSN journal
00207462
Volume
32
Issue
1
Year of publication
1997
Pages
73 - 88
Database
ISI
SICI code
0020-7462(1997)32:1<73:OACOFO>2.0.ZU;2-F
Abstract
We consider a class of a non-Newtonian fluids of grade 3. We give exis tence and uniqueness theorems for the two- and three-dimensional cases . These solutions are local ones. In the two-dimensional case we show that for suitable data the solution can be defined globally. The proof of the main results are based on Galerkin method by using a special b asis in an appropriate functional space. Copyright (C) 1996 Elsevier S cience Ltd.