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Co-rotating and traveling vortex sheets for the 2D incompressible Euler equation

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 نشر من قبل Changjun Zou
 تاريخ النشر 2021
  مجال البحث
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We construct co-rotating and traveling vortex sheets for 2D incompressible Euler equation, which are supported on several small closed curves. These examples represent a new type of vortex sheet solutions other than two known classes. The construction is based on Birkhoff-Rott operator, and accomplished by using implicit function theorem at point vortex solutions with suitably chosen function spaces.



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