Some examples of singular fluid flows
偏微分方程分析
2007-05-23 v1 数学物理
math.MP
摘要
We explain the construction of some solutions of the Stokes system with a given set of singular points, in the sense of Caffarelli, Kohn and Nirenberg. By means of a partial regularity theorem (proved elsewhere), it turns out that we are able to show the existence of a suitable weak solution to the Navier-Stokes equations with a singular set of positive one dimensional Hausdorff measure.
引用
@article{arxiv.math/0109040,
title = {Some examples of singular fluid flows},
author = {M. Romito},
journal= {arXiv preprint arXiv:math/0109040},
year = {2007}
}
备注
14 pages, 1 figure