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arxiv: 1111.0217 · v5 · pith:OBIZ2FEFnew · submitted 2011-11-01 · 🧮 math.AP · math-ph· math.MP

A geometric measure-type regularity criterion for solutions to the 3D Navier-Stokes equations

classification 🧮 math.AP math-phmath.MP
keywords geometriclocalmeasure-typesolutionsactivityanisotropicconditioncriterion
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A local anisotropic geometric measure-type condition on the super-level sets of solutions to the 3D NSE preventing the formation of finite-time singularity is presented; essentially, local one-dimensional sparseness of the regions of intense fluid activity in a very weak sense.

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