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Abstract
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We prove the existence of steady multiple vortex patch solutions to the vortex-wave
system in a planar bounded domain. The construction is performed by solving a
certain variational problem for the vorticity and studying the asymptotic behavior
as the vorticity strength goes to infinity.
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Keywords
vortex-wave system, vortex patch, Euler equations,
Kirchhoff–Routh function, variational problem
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Mathematical Subject Classification 2010
Primary: 35J50, 35Q35
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Milestones
Received: 11 June 2018
Accepted: 10 July 2020
Published: 9 December 2020
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