中文

Navier-Stokes方程的存在性与光滑性

综合数学 2021-01-20 v9

摘要

本文提出证明三维Navier-Stokes方程全局解的新方法。这符合对Clay数学研究所千禧年大奖Navier-Stokes问题的应用。所提方法可应用于其他类偏微分方程的全局解研究。

关键词

引用

@article{arxiv.1806.10081,
  title  = {Existence and Smoothness of Navier-Stokes Equations},
  author = {Svetlin G. Georgiev and Gal Davidi},
  journal= {arXiv preprint arXiv:1806.10081},
  year   = {2021}
}

备注

This manuscript includes 4 different papers. They deal with the existence and smoothness of sets of equations: 1. Incompressible Navier-Stokes 2. A class of Burgers 3. a class of compressible Navier-Stokes 4. Euler of ideal gas