Navier-Stokes equations in arbitrary domains : the Fujita-Kato scheme
Analysis of PDEs
2007-05-23 v1 Functional Analysis
Abstract
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.
Keywords
Cite
@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}
}
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5 pages