Weak Solutions to the Stationary Incompressible Euler Equations

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.Comment: 16 pages, 2 figures. Corrected a mistake in the proof of Theorem 17. Results unchanged. Corrected a typographical erro