Steady asymmetric vortex pairs for Euler equations

نویسندگان

چکیده

In this paper, we study the existence of co-rotating and counter-rotating unequal-sized pairs simply connected patches for Euler equations. In particular, prove curves steadily asymmetric vortex passing through a point with unequal circulations. We also provide careful asymptotic behavior angular velocity translating speed close to pairs.

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ژورنال

عنوان ژورنال: Discrete and Continuous Dynamical Systems

سال: 2021

ISSN: ['1553-5231', '1078-0947']

DOI: https://doi.org/10.3934/dcds.2020348