Published July 2008
| Version v1
Journal article
On steady third grade fluids equations
- 1. Université Jean Monnet-Faculté des Sciences, LaMuse, 23 Rue du Docteur Paul Michelon, 42023 Saint-Etienne (France)
- 2. Université de Lyon, Université Lyon 1, CNRS, UMR 5208 Institut Camille Jordan, Bâtiment du Doyen Jean Braconnier, 43, blvd du 11 Novembre 1918, F-69622 Villeurbanne Cedex (France)
- 3. Département de mathématiques, Université Paris-Sud, Bât. 425, 91405 Orsay Cedex (France)
Description
Let Ω be a simply connected, bounded, smooth domain of R2 or R3. We consider the equation of steady motion of a third grade fluid in Ω with homogeneous Dirichlet boundary conditions. We prove that the monotonicity technique used by Paicu (2008 Physica D at press) in the full space for unsteady motion allows us to obtain the existence of a W1,40 solution provided that the forcing belongs to W-1,4/3. The size of the forcing is arbitrary
Availability note (English)
Available from http://dx.doi.org/10.1088/0951-7715/21/7/013Additional details
Identifiers
- DOI
- 10.1088/0951-7715/21/7/013;
- PII
- S0951-7715(08)67154-6;
Publishing Information
- Journal Title
- Nonlinearity (Print)
- Journal Volume
- 21
- Journal Issue
- 7
- Journal Page Range
- p. 1621-1635
- ISSN
- 0951-7715
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 44095828
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOUNDARY CONDITIONS; DIRICHLET PROBLEM; MATHEMATICAL SOLUTIONS; STEADY FLOW
- Descriptors DEC
- BOUNDARY-VALUE PROBLEMS; FLUID FLOW