Volume 34, Number 2, March/April 2000Special issue for R. Teman's 60th birthday
|Page(s)||315 - 335|
|Published online||15 April 2002|
Fluids with anisotropic viscosity
Laboratoire d'Analyse Numérique, CNRS
UMR 7598, Université Paris 6, place Jussieu, 75005 Paris, France.
2 CEA, BP 12, 91680 Bruyères-le Châtel, France.
3 CNRS UMR 8628 , Université Paris Sud, Bâtiment 425, 91405 Orsay Cedex, France.
4 UMPA (CNRS UMR 5669), E.N.S. Lyon, 46 allée d'Italie, 69364 Lyon Cedex 07, France.
Motivated by rotating fluids, we study incompressible fluids with anisotropic viscosity. We use anisotropic spaces that enable us to prove existence theorems for less regular initial data than usual. In the case of rotating fluids, in the whole space, we prove Strichartz-type anisotropic, dispersive estimates which allow us to prove global wellposedness for fast enough rotation.
Mathematics Subject Classification: 35Q30 / 35Q35 / 76U05
Key words: Navier-Stokes equations / Rotating fluids / Strichartz estimates.
© EDP Sciences, SMAI, 2000
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