Characterization of blowup for the Navier-Stokes equations using vector potentials

We characterize a possible blowup for the 3D Navier-Stokes on the basis of dynamical equations for vector potentials 𝑨. This is motivated by a known interpolation ∥𝑨∥BMO≤∥𝒖∥L3, together with recent mathematical results. First, by working out an inversion formula for singular integrals that appear in...

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Bibliographic Details
Main Author: Koji Ohkitani
Format: Article
Language:English
Published: AIP Publishing LLC 2017-01-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.4975406