The Holder continuity of the swirl for the Navier-Stokes motions
Wojciech Zajaczkowski
TL;DR
This paper proves the Holder continuity of the swirl component in Navier-Stokes solutions using the DeGiorgi method under specific integrability conditions.
Contribution
It introduces a novel application of the DeGiorgi method to establish regularity of the swirl in Navier-Stokes equations with Lq(0,T;Lp) solutions.
Findings
Holder continuity of the swirl established
Applicable to solutions with 3/p+2/q < 1
Advances understanding of Navier-Stokes regularity
Abstract
Applying the DeGiorgi Method the Holder continuity of the swirl is proved for solutions to the Navier-Stokes equations from Lq(0,T;Lp) with 3/p+2/q < 1.
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Taxonomy
TopicsFluid Dynamics and Turbulent Flows · Navier-Stokes equation solutions · Advanced Numerical Methods in Computational Mathematics