环面上二维Navier-Stokes方程的高度奇异（频繁稀疏）稳态解

IF 1.7 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2024-11-22 DOI:10.1016/j.jfa.2024.110761

Pierre Gilles Lemarié-Rieusset

引用次数: 0

摘要

我们构造了环面上二维Navier-Stokes方程在H−1中的非平凡稳定解。特别地，解不是平方可积的，所以我们必须引入一个特殊（非平方可积）解的概念。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Highly singular (frequentially sparse) steady solutions for the 2D Navier–Stokes equations on the torus

We construct non-trivial steady solutions in

H^{- 1}

for the 2D Navier–Stokes equations on the torus. In particular, the solutions are not square integrable, so that we have to introduce a notion of special (non square integrable) solutions.

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来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis