Motivated by the recent work of Hassainia and Hmidi, we close the question of the existence of convex global rotating solutions for the generalized surface quasi-geostrophic equation for . We also show -regularity of their boundary for all .
Angel Castro. Diego Córdoba. Javier Gómez-Serrano. "Existence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations." Duke Math. J. 165 (5) 935 - 984, 1 April 2016. https://doi.org/10.1215/00127094-3449673