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Author:

Liu, Jitao (Liu, Jitao.) (Scholars:刘继涛) | Zhao, Yunxiao (Zhao, Yunxiao.)

Indexed by:

EI Scopus SCIE

Abstract:

In this paper, we address the Holder regularity for helicity for incompressible flows. It is shown that the helicity of incompressible Euler equations belongs to Holder 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.

Keyword:

Euler equations Holder regularity Helicity Navier-Stokes equations

Author Community:

  • [ 1 ] [Liu, Jitao]Beijing Univ Technol, Fac Sci, Dept Math, Beijing 100124, Peoples R China
  • [ 2 ] [Zhao, Yunxiao]Beijing Univ Technol, Fac Sci, Dept Math, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Liu, Jitao]Beijing Univ Technol, Fac Sci, Dept Math, Beijing 100124, Peoples R China;;

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Source :

JOURNAL OF MATHEMATICAL FLUID MECHANICS

ISSN: 1422-6928

Year: 2023

Issue: 1

Volume: 25

1 . 3 0 0

JCR@2022

ESI Discipline: PHYSICS;

ESI HC Threshold:17

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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