Global solutions for the generalized SQG equation and rearrangements
نویسندگان
چکیده
In this paper, we study the existence of rotating and traveling-wave solutions for generalized surface quasi-geostrophic (gSQG) equation. The are obtained by maximization energy over set rearrangements a fixed function. take form co-rotating vortices with N N -fold symmetry. translating vortex pairs. Moreover, these constitute desingularization point counter-rotating Some other quantitative properties also established.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2023
ISSN: ['2330-0000']
DOI: https://doi.org/10.1090/tran/8835