Hölder Regularity of Helicity for the Incompressible Flows

被引：0
|
作者：
Jitao Liu
Yunxiao Zhao
机构：
[1] Beijing University of Technology,Department of Mathematics, Faculty of Science
来源：
Journal of Mathematical Fluid Mechanics | 2023年 / 25卷
关键词：
Euler equations; Helicity; Hölder regularity; Navier-Stokes equations; 35Q30; 35Q35; 76D03; 76D05;
D O I：
暂无
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学科分类号：
摘要：
In this paper, we address the Hölder regularity for helicity for incompressible flows. It is shown that the helicity of incompressible Euler equations belongs to Hölder spaces provided that the velocity or vorticity lies in suitable Besov spaces, which generalizes recent results in Sobolev spaces due to De Rosa (Proc Am Math Soc 148: 2969–2979, 2020). The analogue result for the incompressible fractional Navier-Stokes equations is also derived.
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