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• W3133720031 abstract "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." @default.
• W3133720031 created "2021-03-15" @default.
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• W3133720031 date "2021-03-05" @default.
• W3133720031 modified "2023-10-14" @default.
• W3133720031 title "Existence and regularity of co-rotating and travelling global solutions for the generalized SQG equation" @default.
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• W3133720031 doi "https://doi.org/10.48550/arxiv.2103.03992" @default.
• W3133720031 hasPublicationYear "2021" @default.
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