Journal
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Volume 46, Issue 6, Pages 4060-4074Publisher
SIAM PUBLICATIONS
DOI: 10.1137/140957354
Keywords
stationary Euler equations; convex integration
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Funding
- ERC [277993]
- European Research Council (ERC) [277993] Funding Source: European Research Council (ERC)
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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.
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