On the global well-posedness of the critical quasi-geostrophic equation

Abstract

We prove the global well-posedness of the critical dissipative quasi-geostrophic equation for large initial data belonging to the critical Besov space $\dot B^0_{\infty,1}(\RR^2).$

References in corpus (1)

• A new Bernstein's Inequality and the 2D Dissipative Quasi-Geostrophic Equation

Cited by in corpus (3)

• Remarks on a fractional diffusion transport equation with applications to the dissipative quasi-geostrophic equation
• Global and local existence for the dissipative critical SQG equation with small oscillations
• Global well-posedness of incompressible flow in porous media with critical diffusion in Besov spaces