Navier-Stokes equations in arbitrary domains : the Fujita-Kato scheme
偏微分方程分析
2007-05-23 v1 泛函分析
摘要
Navier-Stokes equations are investigated in a functional setting in 3D open sets, bounded or not, without assuming any regularity of the boundary. The main idea is to find a correct definition of the Stokes operator in a suitable Hilbert space of divergence-free vectors and apply the Fujita-Kato method, a fixed point procedure, to get a local strong solution.
引用
@article{arxiv.math/0511213,
title = {Navier-Stokes equations in arbitrary domains : the Fujita-Kato scheme},
author = {Sylvie Monniaux},
journal= {arXiv preprint arXiv:math/0511213},
year = {2007}
}
备注
5 pages