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Filtering by: Creator Dascaliuc, R. Committee Member Showalter, Ralph E.

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

Full Text:

approved: Radu Dascaliuc In this dissertation, we use Fourier-analytic and spectral theory methods to
On existence and uniqueness of weak solutions to the Navier-Stokes equations in R3

Creator:

Peterson, Samuel H.

Abstract:

This thesis is on the existence and uniqueness of weak solutions to the Navier-Stokes equations in R3 which govern the velocity of incompressible fluid with viscosity ν. The solution is obtained in the space of tempered distributions on R3 given an initial condition and forcing data which are dominated by...

Resource Type:

Masters Thesis

Full Text:

≤ (1/2)1−2γ ˆ B1/2(0,0,1) ( 1 |x| + |ez−w|)2pdw = (1/2)1−2γ4π ˆ 1/2 0 ( 1 |x| + r)2pr2dr ≤ (1/2