Scholarlink

<p>In this paper, we establish some novel criteria in terms of the gradient of the velocity in Lorentz spaces for energy equality to both the 3D Navier–Stokes equations and the n-dimensional Euler equations. Our proof mainly relies on Littlewood-Paley theory and Gagliardo-Nirenberg inequalities in Lorentz spaces. To this end, the strong-continuity of translation operators on Lorentz spaces is also proved, which is of independent interest.</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

Energy Equality of Weak Solutions to the Navier–Stokes System in Lorentz Spaces

  • 期刊论文

  • 发表日期：

    2025年4月30日

查看全文
  • Wei Wei,
  • Yulin Ye

摘要

In this paper, we establish some novel criteria in terms of the gradient of the velocity in Lorentz spaces for energy equality to both the 3D Navier–Stokes equations and the n-dimensional Euler equations. Our proof mainly relies on Littlewood-Paley theory and Gagliardo-Nirenberg inequalities in Lorentz spaces. To this end, the strong-continuity of translation operators on Lorentz spaces is also proved, which is of independent interest.