Sobolev and Gevrey regularity results for the primitive equations in three space dimensions

International Journal of Phytoremediation

Volumn 84, Issue 8, 2005, Pages 769-788

  Petcu, M ^a,b,c   Wirosoetisno, D ^c,d  

^a UNIVERSITÉ PARIS SACLAY   (France)

^b INSTITUTE OF MATHEMATICS   (Romania)

^c INDIANA UNIVERSITY   (United States)

^d DURHAM UNIVERSITY   (United Kingdom)

Author keywords

2000 Mathematics Subject Classifications; 35B65; 35Q35; 76D03; Gevrey regularity; Primitive Equations

Indexed keywords

EID: 33947174178     PISSN: 15226514     EISSN: 15497879     Source Type: Journal    
DOI: 10.1080/00036810500130745     Document Type: Article

References (15)

1. Lions, J-L, Temam, R, and Wang, S. 1992. New formulations of the primitive equations of the atmosphere and applications. Nonlinearity, 5: 237–288.
2. Lions, J-L, Temam, R, and Wang, S. 1992. On the equations of the large-scale ocean. Nonlinearity, 5: 1007–1053.
3. Pedlosky J, 1987 Geophysical Fluid Dynamics 2nd Edn New York Springer
4. Temam R, Ziane M, 2004 Some mathematical problems in geophysical fluid dynamics In: S. Friedlander and D. Serre (Eds) Handbook of Mathematical Fluid Dynamics 3 New York Elsevier
5. Petcu, M, Temam, R, and Wirosoetisno, D. 2004. Existence and regularity results for the primitive equations. Communications on Pure and Applied Mathematics, 3: 115–131.
6. Foias, C, and Temam, R. 1989. Gevrey class regularity for the solutions of the Navier–Stokes equations. Journal of Functional Analysis, 87: 359–369.
7. Promislow, K. 1991. Time analyticity and Gevrey regularity for solutions of a class of dissipative partial differential equations. Nonlinear Analysis, 16: 959–980.
8. Ferrari, AB, and Titi, ES. 1998. Gevrey regularity for nonlinear analytic parabolic equations. Communications in Partial Differential Equations, 23: 1–16.
9. Cao, C, Rammaha, MA, and Titi, ES. 2000. Gevrey regularity for nonlinear analytic parabolic equations on the sphere. Journal of Dynamics and Differential Equations, 12: 411–433.
10. Petcu, M. 2004. Gevrey class regularity for the primitive equations in space dimension 2. Asymptotic Analysis, 39: 1–13.
11. Bartello, P. 1995. Geostrophic adjustment and inverse cascades in rotating stratified turbulence. Journal of Atmospheric Science, 52: 4410–4428.
12. Guillén-González, F, Masmoudi, N, and Rodriguez-Bellido, MA. 2001. Anisotropic estimates and strong solutions of the primitive equations. Differential Integral Equations, 14: 1381–1408.
13. Lions J-L, Magenes E, 1972 Nonhomogeneous Boundary Value Problems and Applications New York Springer-Verlag
14. Temam R, 1983 Navier–Stokes Equations and Nonlinear Functional Analysis CBMS-NSF Regional Conference Series in Applied Mathematics 66 Philadelphia SIAM
15. ∞ solutions of the Euler equations of incompressible perfect fluids Lecture Notes in Math 565 New York Springer-Verlag