The Navier-Stokes equations on the rotating 2-D sphere: Gevrey regularity and asymptotic degrees of freedom Academic Article

abstract

• In this article we prove a Gevrey class global regularity to the Navier-Stokes equations on the rotating two dimensional sphere, S2 - 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.

authors

• Titi, Edriss

published proceedings

• ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

author list (cited authors)

• Cao, C. S., Rammaha, M. A., & Titi, E. S.

citation count

• 78

complete list of authors

• Cao, CS||Rammaha, MA||Titi, ES

publication date

• May 1999

publisher

• Springer Nature  Publisher

published in

• Zeitschrift fuer Angewandte Mathematik und Physik  Journal

keywords

• Determining Degrees Of Freedom
• Geophysical Flows
• Gevrey Regularity
• Navier-stokes Equations On The Sphere

Digital Object Identifier (DOI)

• 10.1007/PL00001493

start page

• 341

end page

• 360

volume

• 50

issue

• 3

URL

• http://dx.doi.org/10.1007/pl00001493