A Study of the Three-Dimensional Quasi-Geostrophic System
General Material Designation
[Thesis]
First Statement of Responsibility
Novack, Matthew Dominick
Subsequent Statement of Responsibility
Vasseur, Alexis
.PUBLICATION, DISTRIBUTION, ETC
Name of Publisher, Distributor, etc.
The University of Texas at Austin
Date of Publication, Distribution, etc.
2019
GENERAL NOTES
Text of Note
205 p.
DISSERTATION (THESIS) NOTE
Dissertation or thesis details and type of degree
Ph.D.
Body granting the degree
The University of Texas at Austin
Text preceding or following the note
2019
SUMMARY OR ABSTRACT
Text of Note
The three-dimensional quasi-geostrophic system is a set of equations used to model atmospheric and oceanic circulation. We shall consider both inviscid and viscous variations of the underlying model, which may be posed on a variety of spatial domains. As is typical of models from fluid mechanics, questions of well-posedness are physically relevant and mathematically interesting. In this work, we study physical properties of the quasi-geostrophic system using modern tools from pure and applied mathematics including regularity theory, asymptotic analysis, and convex integration.