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Title Weak solutions to the incompressible Euler equations

Name Antoine Choffrut
Country Scotland
Email antoine.choffrut@ed.ac.uk
Co-Author(s) Laszlo Szekelyhidi Jr.
Submit Time 2014-02-26 06:28:01
Special Session 60: Recent advances in evolutionary equations
Abstract: 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 Camillo De Lellis 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.