Unique Measure for the Time-Periodic Navier-Stokes on the Sphere Navier-Stokes on the Sphere

Gregory Varner
2015 Applied Mathematics  
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.
doi:10.4236/am.2015.611160 fatcat:cb2fsmue3fc7diqupzsqmddfoa