三维 Navier-Stokes 方程所有弱解的 Leray-Hopf 性质与连续性
偏微分方程分析
2023-01-13 v3
摘要
在本注记中,我们证明三维 Navier-Stokes 系统的每个弱解均满足 Leray-Hopf 性质。此外,每个弱解在赋予强收敛拓扑的标准相空间 中是右连续的。
引用
@article{arxiv.1501.00679,
title = {Leray-Hopf and Continuity Properties for All Weak Solutions for the 3D~Navier-Stokes Equations},
author = {Nataliia V. Gorban and Pavlo O. Kasyanov and Olha V. Khomenko and Luisa Toscano},
journal= {arXiv preprint arXiv:1501.00679},
year = {2023}
}
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