SIAM Journal on Mathematical Analysis, Volume 52, Issue 2, Page 1690-1728, January 2020.
In this paper, we give a rigorous justification of the point vortex approximation to the family of modified surface quasi-geostrophic (mSQG) equations globally in time in both the inviscid and vanishing dissipative cases. This result completes the justification for the remaining range of the mSQG family unaddressed by Geldhauser and Romito [Point Vertices for Inviscid Generalized Surface Quasi-Geostrophic Models, arXiv:1812.05166, 2018] in the case of identically signed vortices.

中文翻译：

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修正的表面准地转方程的点涡旋逼近的证明

SIAM数学分析杂志，第52卷，第2期，第1690-1728页，2020
年1月。在本文中，我们对点旋涡逼近在全球范围内对修正的表面准地转（mSQG）方程族的严格证明。在无用和消失的耗散情况下。对于相同签名的涡旋，该结果完成了由Geldhauser和Romito提出的mSQG系列剩余范围的论证[无粘性广义表面准地转模型的点顶点，arXiv：1812.05166，2018]。