不可压标准流动中的良好定义的自相似性
综合数学
2025-05-26 v4
摘要
本文综述了不可压流体纳维-斯托克斯方程自相似解的性质。由于任何光滑解都可嵌入于同一尺度下的自相似解中，在标准流动条件下，若选取具有特定等压权重的自相似解，则初始解将在所有时间保持光滑。
引用
@article{arxiv.2504.21000,
title = {Well-posed Self-Similarity in Incompressible Standard Flows},
author = {J. Polihronov},
journal= {arXiv preprint arXiv:2504.21000},
year = {2025}
}
备注
Supplementary material added (to see the Supplementary material, click on "TeX Source"): ChatGPT-4.5 Deep Research evaluation of this article, containing the proposed solution to the Navier-Stokes Millennium Problem; Exhaustive list of possible objections and responses; ChatGPT-3.5 executive summary of this work as a proposed solution to the Navier-Stokes Millennium Problem