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

Manuel García-Casado

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arXiv · 0906.4039

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

Manuel García-Casado

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Abstract

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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Manuel García-Casado. 2009-06-22. Connection Between Kinetic Energy And Vorticity Blow-up in 3-D Navier-Stokes Fluid. https://arxiv.org/abs/0906.4039

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