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Global well-posedness of helicoidal Euler equations. (English) Zbl 1446.35112

Summary: This paper deals with the global existence and uniqueness results for the three-dimensional incompressible Euler equations with a particular structure for initial data lying in critical spaces. In this case the BKM criterion is not known.

MSC:

35Q31 Euler equations
35B65 Smoothness and regularity of solutions to PDEs
35A01 Existence problems for PDEs: global existence, local existence, non-existence
76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids
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