Date of Award
Doctor of Philosophy (PhD)
Chair and Committee
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.
Brady, Joshua John, "Analysis of the Navier--Stokes-αβ equations" (2012). All Theses and Dissertations (ETDs). 943.