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Dissertation/Thesis Abstract

Stochastically Perturbed Navier-Stokes System on the Rotating Sphere
by Varner, Gregory Alan, Ph.D., University of Missouri - Columbia, 2013, 133; 3576093
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.

Indexing (document details)
Advisor: Ashbaugh, Mark
School: University of Missouri - Columbia
School Location: United States -- Missouri
Source: DAI-B 75/03(E), Dissertation Abstracts International
Subjects: Applied Mathematics, Mathematics
Keywords: Invariant measure, Kick-forced flow, Perturbed Navier-Stokes system, Rotating sphere
Publication Number: 3576093
ISBN: 978-1-303-55366-0
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