Antoine Choffrut: 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 De Lellis and Szekelyhidi 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. This is joint work with Laszlo Szekelyhidi Jr.

The lecture was held within the framework of the Hausdorff
Trimester Program Harmonic Analysis and Partial Differential Equations. 4.7.2014