A steady Euler flow with compact support
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A nontrivial smooth steady incompressible Euler flow in three dimensions with compact support is constructed. Another uncommon property of this solution is the dependence between the Bernoulli function and the pressure.
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The author would like to thank the anonymous referee for pointing out the interest-ing work of Khesin, Kuksin, and Peralta-Salas [KKP14] as well as some properties of the given solution.