Global well-posedness for the 2 D quasi-geostrophic equation in a critical Besov space

Abstract

We show that the the 2 D quasi-geostrophic equation has global and unique strong solution, when the (large) data belongs in the critical, scale invariant space $\dot{B}^{2-2\al}_{2, \infty}\cap L^{2/(2\al-1)}$.

References in corpus (1)

• Global well-posedness for the critical 2D dissipative quasi-geostrophic equation

Cited by in corpus (3)

• Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations
• Generalized surface quasi-geostrophic equations with singular velocities
• Remarks on the Global Regularity for the Super-Critical 2D Dissipative Quasi-Geostrophic Equation