On boundedness, existence and uniqueness of strong solutions of the Navier-Stokes Equations in 3 dimensions
Abstract
In this paper we consider the Navier-Stokes Equations in 3 dimensions in the vorticity formulation in the absence of the external forces. We derive upper bounds on Linfinity norm of omega and use them together with the Local Existence and Uniqueness results to show Global Existence and Uniqueness of the solution provided that at t=0, Linfinity norm of omega is finite, or L4 norm of omega is finite.
0