Connection Between Kinetic Energy And Vorticity Blow-up in 3-D Navier-Stokes Fluid

Details Connection Between Kinetic Energy And Vorticity Blow-up in 3-D Navier-Stokes Fluid Connection Between Kinetic Energy And Vorticity Blow-up in 3-D Navier-Stokes Fluid

2009-06-22

arxiv.org/abs/0906.4039v1

Physics

Fluid Dynamics

5 pages, 0 figures

Scientific paper

In this paper the author formulates and proves a theorem that relates
smoothness of kinetic energy and smoothness of vorticity in a 3-D Navier-Stokes
fluid. Setting velocity and vorticity boundary conditions, a direct relation
arises between kinetic energy and the squared Euclidean norm of the vorticity.
As a direct result, their smoothness is closely related.

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