Constantin, Peter; Nie, Qing; Schörghofer, Norbert Nonsingular surface quasi-geostrophic flow. (English) Zbl 0974.76512 Phys. Lett., A 241, No. 3, 168-172 (1998). Summary: The dynamics of large eddies in the atmosphere and ocean is described by the surface quasi-geostrophic equation, which is reminiscent of the Euler equations. Thermal fronts build up rapidly. Two different numerical methods combined with analytical criteria are used to show there are no singularities in finite time. Cited in 36 Documents MSC: 76B60 Atmospheric waves (MSC2010) 86A10 Meteorology and atmospheric physics 86A05 Hydrology, hydrography, oceanography Keywords:thermal front PDFBibTeX XMLCite \textit{P. Constantin} et al., Phys. Lett., A 241, No. 3, 168--172 (1998; Zbl 0974.76512) Full Text: DOI arXiv References: [1] Pedlosky, J., (Geophysical Fluid Dynamics (1987), Springer: Springer New York) · Zbl 0713.76005 [2] Constantin, P.; Majda, A.; Tabak, E., Nonlinearity, 7, 1495 (1994) [3] Ohkitani, K.; Yamada, M., Phys. Fluids, 9, 876 (1997) [4] Constantin, P., Physica D, 86, 212 (1995) [5] Majda, A.; Tabak, E., Physica D, 98, 515 (1996) [6] Gustafsson, B.; Kreiss, H. O.; Oliger, J., (Time Dependent Problems and Difference Methods (1995), Wiley: Wiley New York) [7] Pierrehumbert, R.; Held, I.; Swanson, K., Chaos, Solitons Fractals, 4, 1111 (1994) [8] Constantin, P., Scaling exponents for active scalars (1997), preprint · Zbl 0929.76060 [9] Scaling exponents for active scalars (1998) · Zbl 0929.76060 [10] Minion, M., Numerical investigation of strong front formation in the two-dimensional quasi-geostrophic thermal active scalar equation, (accessed 8 January 1998) [11] Cordoba, D., (Proc. Natl. Acad. Sci. USA, 94 (1997)), 12769 [12] Constantin, P., Absence of proper non-degenerate generalized self-similar singularities (1998), preprint This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.