Abstract
dc:description.abstract<p>In this dissertation we prove various analytic results for the Navier--Stokes-αβ equations. We establish well-posedness and regularity. In addition we determine estimates for the nodal distance and the number of determining modes. A method of averaging is developed and applied to derive a Kaman--Howarth type equation for the Navier--Stokes-αβ equations. Finally we investigate an anisotropic generalization of the Navier--Stokes-αβ equations. We show that the eigenvalues of the moment of inertia tensor convect with the flow and we derive energy type inequalities for the equations.</p>
Degree
thesis:*- Name thesis:degree_name
- Doctor of Philosophy (PhD)
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Year dc:date.available
- 2012
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Brady, Joshua John
- Contributors dc:contributor
-
- Renato Feres
Subjects
dc:subject × 6Rights
- Language dc:language
- English (en)
Identifiers
dc:identifier.*- OAI identifier oai:identifier
- oai:openscholarship.wustl.edu:etd-1943