Nonsingular surface quasi-geostrophic flow

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 241, Issue 3, 1998, Pages 168-172

  Constantin, Peter ^a   Nie, Qing ^a   Schörghofer, Norbert ^b  

^a UNIVERSITY OF CHICAGO   (United States)

^b UNIVERSITY OF CHICAGO   (United States)

Author keywords

Active scalar; Quasi geostrophic; Singularities

Indexed keywords

NUMERICAL METHODS;

ACTIVE SCALAR; FINITE TIME; NONSINGULAR; QUASI-GEOSTROPHIC; QUASI-GEOSTROPHIC FLOWS; SINGULARITIES; SURFACE QUASI-GEOSTROPHIC EQUATIONS; THERMAL FRONTS;

ASTROPHYSICS;

EID: 0000579087     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(98)00108-X     Document Type: Article

References (16)

1. J. Pedlosky, J. Atmos. Sci. 21 (1964) 201; Geophysical Fluid Dynamics (Springer, New York, 1987).
2. J. Pedlosky, J. Atmos. Sci. 21 (1964) 201; Geophysical Fluid Dynamics (Springer, New York, 1987).
3. P. Constantin, A. Majda, E. Tabak, Phys. Fluids 6 (1994) 9; Nonlinearity 7 (1994) 1495.
4. P. Constantin, A. Majda, E. Tabak, Phys. Fluids 6 (1994) 9; Nonlinearity 7 (1994) 1495.
5. K. Ohkitani, M. Yamada, Phys. Fluids 9 (1997) 876.
6. P. Constantin, Physica D 86 (1995) 212.
7. A. Majda, E. Tabak, Physica D 98 (1996) 515.
8. B. Gustafsson, H.O. Kreiss, J. Oliger, Time Dependent Problems and Difference Methods (Wiley, New York, 1995).
9. I. Held, R. Pierrehumbert, S. Garner, K. Swanson, J. Fluid Mech. 282 (1995) 1; R. Pierrehumbert, I. Held, K. Swanson, Chaos, Solitons Fractals 4 (1994) 1111.
10. I. Held, R. Pierrehumbert, S. Garner, K. Swanson, J. Fluid Mech. 282 (1995) 1; R. Pierrehumbert, I. Held, K. Swanson, Chaos, Solitons Fractals 4 (1994) 1111.
11. P. Constantin, Scaling exponents for active scalars, preprint (1997).
12. http://rainbow.uchicago.edu/~norbert/Research/publicdata. html, 1998. (These data are made available for the next few years.)
13. M. Minion, Numerical investigation of strong front formation in the two-dimensional quasi-geostrophic thermal active scalar equation, http://www.math.unc.edu/Faculty/ minion/res/quasi.html (accessed 8 January 1998).
14. D. Cordoba, Proc. Natl. Acad. Sci. USA 94 (1997) 12769.
15. P. Constantin, Q. Nie, N. Schörghofer, in preparation;
16. P. Constantin, Absence of proper non-degenerate generalized self-similar singularities, preprint (1998).