Weak solutions to the stationary incompressible Euler equations
Analysis of PDEs
2014-05-22 v2
Abstract
We consider weak stationary solutions to the incompressible Euler equations and show that the analogue of the h-principle obtained in [5, 7] for time-dependent weak solutions continues to hold. The key difference arises in dimension d = 2, where it turns out that the relaxation is strictly smaller than what one obtains in the time-dependent case.
Cite
@article{arxiv.1401.4301,
title = {Weak solutions to the stationary incompressible Euler equations},
author = {Antoine Choffrut and László Székelyhidi},
journal= {arXiv preprint arXiv:1401.4301},
year = {2014}
}
Comments
16 pages, 2 figures. Corrected a mistake in the proof of Theorem 17. Results unchanged. Corrected a typographical error