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
中图分类号：
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.
引用
收藏
相关论文
共 50 条
  • [1] Holder Regularity of Helicity for the Incompressible Flows
    Liu, Jitao
    Zhao, Yunxiao
    [J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2023, 25 (01)
  • [2] On Nonperiodic Euler Flows with Hölder Regularity
    Philip Isett
    Sung-Jin Oh
    [J]. Archive for Rational Mechanics and Analysis, 2016, 221 : 725 - 804
  • [3] Improved regularity of harmonic map flows with Hölder continuous energy
    Peter Topping
    [J]. Calculus of Variations and Partial Differential Equations, 2004, 21 : 47 - 55
  • [4] ON A VARIATIONAL PROPERTY OF HELICITY IN INCOMPRESSIBLE FLOWS
    LEWALLE, J
    [J]. PHYSICS LETTERS A, 1987, 122 (6-7) : 338 - 340
  • [5] HELICITY FLUCTUATIONS IN INCOMPRESSIBLE TURBULENT FLOWS
    ROGERS, MM
    MOIN, P
    [J]. PHYSICS OF FLUIDS, 1987, 30 (09) : 2662 - 2671
  • [6] Directional Hölder Metric Regularity
    Huynh Van Ngai
    Nguyen Huu Tron
    Michel Théra
    [J]. Journal of Optimization Theory and Applications, 2016, 171 : 785 - 819
  • [7] Hölder Regularity of μ-Similar Functions
    Moez Ben Abid
    Stéphane Seuret
    [J]. Constructive Approximation, 2010, 31 : 69 - 93
  • [8] Hölder Regularity of Geometric Subdivision Schemes
    T. Ewald
    U. Reif
    M. Sabin
    [J]. Constructive Approximation, 2015, 42 : 425 - 458
  • [9] Hölder regularity for porous medium systems
    Naian Liao
    [J]. Calculus of Variations and Partial Differential Equations, 2021, 60
  • [10] Effect of helicity on the effective diffusivity for incompressible random flows
    Dean, DS
    Drummond, IT
    Horgan, RR
    [J]. PHYSICAL REVIEW E, 2001, 63 (06): : 061205/1 - 061205/12
12345