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Existence and regularity of co-rotating and travelling global solutions for the generalized SQG equation

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 نشر من قبل Changjun Zou
 تاريخ النشر 2021
  مجال البحث
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By studying the linearization of contour dynamics equation and using implicit function theorem, we prove the existence of co-rotating and travelling global solutions for the gSQG equation, which extends the result of Hmidi and Mateu cite{HM} to $alphain[1,2)$. Moreover, we prove the $C^infty$ regularity of vortices boundary, and show the convexity of each vortices component.



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