Navier-Stokes-Planck-Nernst-Poisson 方程合适弱解的偏正则性
偏微分方程分析
2019-06-18 v2
摘要
本文受 Caffarelli-Kohn-Nirenberg \cite{CKN} 关于不可压缩 Navier-Stokes 方程的开创性工作启发,建立了三维 Navier-Stokes-Planck-Nernst-Poisson 方程合适弱解的存在性,并证明其在一个闭集之外是光滑的,该闭集的 维抛物 Hausdorff 测度为零。
引用
@article{arxiv.1905.13365,
title = {Partial regularity of suitable weak solutions of the Navier-Stokes-Planck-Nernst-Poisson equation},
author = {Huajun Gong and Changyou Wang and Xiaotao Zhang},
journal= {arXiv preprint arXiv:1905.13365},
year = {2019}
}
备注
31 pages. A few mistakes have been fixed