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Communications in Mathematical Physics 2009, Vol. 290 (3 ) :861 -870 doi:10.1007/s00220-008-0726-8 <<-上一篇 下一篇 ->>
Localization and Geometric Depletion of Vortex-Stretching in the 3D NSE
Zoran Gruji?(1)   
1.University of Virginia Department of Mathematics Charlottesville VA 22904 USA
Abstract: Vortex-stretching and, consequently, the evolution of the vorticity is localized on an arbitrarily small space-time cylinder. This yields a complete localization of the geometric condition(s) for the regularity involving coherence of the vorticity direction. In particular, it implies the regularity of any geometrically constrained Leray solution independently of the type of the spatial domain or the boundary conditions.
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