On boundedness, existence and uniqueness of strong solutions of the Navier-Stokes Equations in 3 dimensions

Details On boundedness, existence and uniqueness of strong solutions of the Navier-Stokes Equations in 3 dimensions On boundedness, existence and uniqueness of strong solutions of the Navier-Stokes Equations in 3 dimensions

2008-10-02

arxiv.org/abs/0810.0318v2

Mathematics

General Mathematics

Scientific paper

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 L_{infinity} 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, L_{infinity} norm of omega is finite, or L_4 norm of omega is finite.

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