By making use of an adaption of Arnold variational principle [4], we construct a family of vortex patches of the inviscid, incompressible steady flow in a finite channel $\mathbb{T} \times [0,1]$.
Xinyao WANG
,
Xiaohuan WANG
. VORTEX PATCHES FOR THE EULER EQUATIONS IN A FINITE CHANNEL[J]. Acta mathematica scientia, Series B, 2026
, 46(2)
: 605
-616
.
DOI: 10.1007/s10473-026-0206-2
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