具有轻微超临界条件的轴对称Navier-Stokes方程解的正则性
偏微分方程分析
2022-08-08 v1
摘要
考虑具有非平凡涡旋的三维不可压缩Navier-Stokes方程的轴对称适当弱解。若该解满足一个轻微超临界条件,我们将证明其正则性。这推广了Chen-Strain-Tsai-Yau、Koch-Nadirashvili-Seregin-Sverak以及Lei-Zhang的结果,他们在临界条件下证明了正则性。
引用
@article{arxiv.1410.6260,
title = {Regularity of Solution to Axis-symmetric Navier-Stokes Equations with a Slightly Supercritical Condition},
author = {Xinghong Pan},
journal= {arXiv preprint arXiv:1410.6260},
year = {2022}
}
备注
40pages