A Study of the Three-Dimensional Quasi-Geostrophic System

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" A Study of the Three-Dimensional Quasi-Geostrophic System "
Novack, Matthew Dominick Vasseur, Alexis

Document Type	:	Latin Dissertation
Language of Document	:	English
Record Number	:	1107492
Doc. No	:	TLpq2447271585
Main Entry	:	Novack, Matthew Dominick
	:	Vasseur, Alexis
Title & Author	:	A Study of the Three-Dimensional Quasi-Geostrophic System\ Novack, Matthew DominickVasseur, Alexis
College	:	The University of Texas at Austin
Date	:	2019
student score	:	2019
Degree	:	Ph.D.
Page No	:	205
Abstract	:	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.
Subject	:	Mathematics