Scholarlink

<p>We introduce a determining wavenumber for weak solutions of 3D Navier-Stokes equations whose time average is bounded by Kolmogorov’s dissipation wavenumber over the whole range of intermittency dimensions, confirming Landau’s prediction for the number of degrees of freedom in a turbulent fluid flow. This improves previous works [<CitationRef CitationID="CR4">4</CitationRef>] and [<CitationRef CitationID="CR6">6</CitationRef>].</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

An optimal upper bound on the determining wavenumber for 3D Navier-Stokes Equations

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年6月2日

查看全文
  • Alexey Cheskidov,
  • Qirui Peng

摘要

We introduce a determining wavenumber for weak solutions of 3D Navier-Stokes equations whose time average is bounded by Kolmogorov’s dissipation wavenumber over the whole range of intermittency dimensions, confirming Landau’s prediction for the number of degrees of freedom in a turbulent fluid flow. This improves previous works [4] and [6].