The vortex patch problem for the surface quasi-geostrophic equation

Proceedings of the National Academy of Sciences of the United States of America

Volumn 101, Issue 9, 2004, Pages 2684-2686

  Rodrigo, José Luis ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ATMOSPHERE; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; SURFACE PROPERTY; TEMPERATURE;

EID: 1542327711     PISSN: 00278424     EISSN: None     Source Type: Journal    
DOI: 10.1073/pnas.0308158101     Document Type: Article

References (20)

1. Pedlosky, J. (1987) Geophysical Fluid Dynamics (Springer, New York), pp. 345-368 and 653-670.
2. Constantin, P., Majda, A. & Tabak, E. (1994) Phys. Fluids 6, 9-11.
3. Constantin, P., Majda, A. & Tabak, E. (1994) Nonlinearity 7, 1495-1533.
4. Madja, A. & Tabak, E. (1996) Physica D 98, 515-522.
5. Constantin, P. (1994) SIAM Rev. 36, 73-98.
6. Ohkitani, K. & Yamada, M. (1997) Phys. Fluids 9, 876-882.
7. Constantin, P., Nie, Q. & Schorghofer, N. (1998) Phys. Lett. A 241, 168-172.
8. Constantin, P., Nie, Q. & Schorghofer, N. (1999) Phys. Rev. E 60, 2858-2863.
9. Chae, D. (2003) Nonlinearity 16, 479-495.
10. Cordoba, D. & Fefferman, C. (2002) J. Am. Math. Soc. 15, 665-670.
11. Cordoba, D. (1998) Ann. Math. 148, 1135-1152.
12. Chemin, J. Y. (1993) Ann. Econ. Norm. Super. 26, 1-16.
13. Bertozzi, A. L. & Constantin, P. (1993) Commun. Math. Phys. 152, 19-28.
14. Majda, A. & Bertozzi, A. (2002) Vorticity and Incompressible Flow, Cambridge Texts in Applied Mathematics (Cambridge, U.K.).
15. Constantin, P. & Titi, E. S. (1988) Commun. Math Phys. 119, 177-198.
16. Zabusky, N., Hughes, M. H. & Roberts, K. V. (1979) J. Comp. Phys. 30, 96-106.
17. Córdoba, D., Fefferman, C. & Rodrigo, J. L. (2004) Proc. Natl. Acad. Sci. USA 101, 2687-2691.
18. Stein, E. (1970) Singular Integrals and Differentiability Properties of Functions (Princeton Univ. Press, Princeton).
19. Stein, E. (1993) Harmonic Analysis (Princeton Univ. Press, Princeton).
20. Fefferman, C. & Stein, E. (1972) Acta Math. 129, 137-193.