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Weak solutions to the stationary incompressible Euler equations (1401.4301v2)

Published 17 Jan 2014 in math.AP

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.

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