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Ilyin, A. (2004) Stability and Instability of Generalized Kolmogorov Flows on the Two-Dimensional Sphere. Advances in Differential Equations, 9, 979-1008.

has been cited by the following article:

• TITLE: Unique Measure for the Time-Periodic Navier-Stokes on the Sphere Navier-Stokes on the Sphere

  AUTHORS: Gregory Varner

  KEYWORDS: Navier-Stokes, Invariant Measure, Sphere

  JOURNAL NAME: Applied Mathematics, Vol.6 No.11, October 16, 2015

  ABSTRACT: This paper proves the existence and uniqueness of a time-invariant measure for the 2D Navier-Stokes equations on the sphere under a random kick-force and a time-periodic deterministic force. Several examples of deterministic force satisfying the necessary conditions for a unique invariant measure to exist are given. The support of the measure is examined and given explicitly for several cases.