Font Size: a A A

Stochastically Perturbed Navier-Stokes System on the Rotating Sphere

Posted on:2014-05-14Degree:Ph.DType:Dissertation
University:University of Missouri - ColumbiaCandidate:Varner, Gregory AlanFull Text:PDF
GTID:1450390008460251Subject:Mathematics
Abstract/Summary:
We show the existence and uniqueness of an invariant measure for the kick-forced Navier-Stokes system on the 2-dimensional sphere, first without deterministic force and then with a time-independent deterministic force. The existence and uniqueness of an invariant measure for the white noise forced Navier-Stokes system on the 2- dimensional sphere without a deterministic forcing is also shown.;We examine the support of the invariant measure and give a description of the support of the measure in general, and in several special cases, for the kick-forced flow. The support of the invariant measure for the white noise forced equations is shown to be the entire space of admissible vector fields of the sphere.
Keywords/Search Tags:Navier-stokes system, Sphere, Invariant measure
Related items