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  • Key words. Gevrey regularity, Navier-Stokes equations on the sphere, geophysical flows, determining degrees of freedom.  (1)
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    Electronic Resource
    Electronic Resource
    The Navier-Stokes equations on the rotating 2-D sphere: Gevrey regularity and asymptotic degrees of freedom (1999)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 50 (1999), S. 341-360 
    Details
    ISSN: 0044-2275
    Keywords: Key words. Gevrey regularity, Navier-Stokes equations on the sphere, geophysical flows, determining degrees of freedom.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract. In this article we prove a Gevrey class global regularity to the Navier-Stokes equations on the rotating two dimensional sphere, S 2 - a fundamental model that arises naturally in large scale atmospheric dynamics. As a result one concludes the exponential convergence of the spectral Galerkin numerical method, based on spherical harmonic functions. Moreover, we provide an upper bound for the number of asymptotic degrees of freedom for this system.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/PL00001493
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