Justification of the Point Vortex Approximation for Modified Surface Quasi-Geostrophic Equations

2019/05/17 by Rosenzweig, Matthew · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1905.07351

Abstract

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 in the article arXiv:1812.05166, in the case of identically signed vortices.

Cited by

• On Turbulent Behavior of the Generalized Surface Quasigeostrophic Equations
• Existence of nested polygonal vortex patches for the generalized SQG equation

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