Existence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations

2014/09/30 by Angel Castro, Diego Córdoba, Javier Gómez-Serrano · 1 citation
Mathematics · #math.AP

paper · pdf · doi:10.1215/00127094-3449673

published as Duke Math. J. 165, no. 5 (2016), 935-984 · 42 pages

arxiv created 2015/07/20 · arxiv updated 2016/04/06

Abstract

Motivated by the recent work of Hassainia and Hmidi [Z. Hassainia, T. Hmidi - On the V-states for the generalized quasi-geostrophic equations,arXiv preprint arXiv:1405.0858], we close the question of the existence of convex global rotating solutions for the generalized surface quasi-geostrophic equation for α∈ [1,2). We also show C^∞ regularity of their boundary for all α∈ (0,2).

Citations

• On the V-states for the generalized quasi-geostrophic equations

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• Uniformly Rotating Euler Configurations with Multiple Vorticity Holes

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