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 by the second author in joint work with C. De Lellis for time-dependent weak solutions in L-infinity continues to hold. The key difference arises in dimension d = 2, where it turns out that the relaxation set is strictly smaller than what one obtains in the time-dependent case.