Weak convergence results for inhomogeneous rotating fluid equations

Journal d'Analyse Mathematique

Volumn 99, Issue , 2006, Pages 1-34

  Gallagher, Isabelle ^a   Saint Raymond, Laure ^b  

^a INSTITUT DE MATHÉMATIQUES DE JUSSIEU   (France)

^b UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33847727945     PISSN: 00217670     EISSN: 15658538     Source Type: Journal    
DOI: 10.1007/BF02789441     Document Type: Article

References (20)

1. J.-P. Aubin, Un théorème de compacité. Notes aux Comptes Rendus de l'Académie des Sciences de Paris 309(1963), 5042-5044.
2. A. Babin, A. Mahalov and B. Nicolaenko, Global splitting, integrability and regularity of 3D Euler and Navier-Stokes equations for uniformly rotating fluids, European J. Mech. 15(1996), 291-300.
3. A. Babin, A. Mahalov and B. Nicolaenko, Resonances and regularity for Boussinesq equations, Russian J. Math. Phys. 4(1996), 417-428.
4. A. Babin, A. Mahalov and B. Nicolaenko, Global regularity of 3D rotating Navier-Stokes equations for resonant domains, Indiana Univ. Math. J. 48(1999), 1133-1176.
5. J.-Y. Chemin, B. Desjardins, I. Gallagher and E. Grenier, Anisotropy and dispersion in rotating fluids, in Nonlinear Partial Differential Equations and their Applications, Collège de France Seminar, Studies in Mathematics and its Applications, 31, North-Holland, Amsterdam, 2002, pp. 171-191.
6. J.-Y. Chemin, B. Desjardins, I. Gallagher and E. Grenier, Ekman boundary layers in rotating fluids, ESAIM Contrôle Optimal et Calcul des Variations, Special Tribute issue to Jacques-Louis Lions, 8(2002), 441-466.
7. P. Embid and A. Majda, Averaging over fast gravity waves for geophysical flows with arbitrary potential vorticity, Comm. Partial Differential Equations 21(1996), 619-658.
8. I. Gallagher, Applications of Schochet's methods to parabolic equations J. Math. Pures Appl. 77(1998), 989-1054.
9. A. E. Gill, Atmosphere-Ocean Dynamics, International Geophysics Series, Vol. 30, Academic Press, New York, 1982.
10. F. Golse and L. Saint-Raymond, The Vlasov-Poisson system with strong magnetic field, J. Math. Pures Appl. 78(1999), 791-817.
11. H. P. Greenspan, The Theory of Rotating Fluids, Cambridge University Press, 1969.
12. E. Grenier, Oscillatory perturbations of the Navier-Stokes equations, J. Math. Pures Appl. 76(1997), 477-498.
13. E. Grenier and N. Masmoudi, Ekman layers of rotating fluids, the case of well prepared initial data, Comm. Partial Differential Equations 22(1997), 953-975.
14. J. Leray, Essai sur le mouvement d'un liquide visqueux emplissant l'espace, Acta Math. 63(1933), 193-248.
15. P.-L. Lions and N. Masmoudi, Incompressible limit for a viscous compressible fluid, J. Math. Pures Appl. 77(1998), 585-627.
16. P.-L. Lions and N. Masmoudi, Une approche locale de la limite incompressible, C.R. Acad. Sci. Paris Sér. I Math. 329(1999), 387-392.
17. N. Masmoudi, Ekman layers of rotating fluids: the case of general initial data, Comm. Pure Appl. Math. 53(2000), 432-483.
18. J. Pedlosky, Geophysical fluid dynamics, Springer, Berlin, 1979.
19. S. Schochet, Fast singular limits of hyperbolic PDEs, J. Differential Equations 114(1994), 476-512.
20. R. Temam and M. Ziane, Some mathematical problems in geophysical fluid dynamics, in Handbook of Mathematical Fluid Dynamics, Vol. III, North-Holland, Amsterdam, 2004, pp. 535-657.