Existence of steady multiple vortex patches to the vortex-wave system
classification
🧮 math.AP
keywords
existencemultiplesteadysystemvortexvortex-wavevorticityasymptotic
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In this paper 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 its asymptotic behavior as the vorticity strength goes to infinity.
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