Anisotropy and dispersion in rotating fluids

Citation
Jy. Chemin et al., Anisotropy and dispersion in rotating fluids, CR AC S I, 329(12), 1999, pp. 1055-1058
Citations number
9
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
329
Issue
12
Year of publication
1999
Pages
1055 - 1058
Database
ISI
SICI code
0764-4442(199912)329:12<1055:AADIRF>2.0.ZU;2-Q
Abstract
We study dispersion effects in the rotating fluid system in the whole space . We prove global strong convergence results for. Leray's solutions, as wel l as global regularity and uniqueness of solutions as soon as the Rossby nu mber is small enough; the method involves anisotropic Strichartz-type estim ates. (C) 1999 Academie des sciences/Editions scientifiques et medicales El sevier SAS.