On the global solutions of the super-critical 2D quasi-geostrophic equation in Besov spaces

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119313In this paper we study the super-critical 2D dissipative quasi-geostrophic equation. We obtain some regularization effects allowing us to prove global well-posedness result for small initial data lying in critical Besov spaces constructed over Lebesgue spaces $L^p,$ \mbox{with $p\in[1,\infty].$ Local results for arbitrary initial data are also given.Analysis of PDEs76U05, 76B03, 76D,35Q35On the global solutions of the super-critical 2D quasi-geostrophic equation in Besov spacestext