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On the Existence of Solutions to the Incompressible Navier-Stokes Equations with Constant Energy and Enstrophy

Creator:

Hagen, Sarah S.

Abstract:

In this dissertation, we use Fourier-analytic and spectral theory methods to analyze the behavior of solutions of the incompressible Navier-Stokes equations in 2D and 3D (with an eye towards better understanding turbulence). In particular, we investigate the possible existence of so-called ghost solutions to the Navier-Stokes Equations. Such solutions, if...

Resource Type:

Dissertation