Global Well-Posedness of the Dissipative Quasi-Geostrophic Equation with Dispersive Forcing

Abstract

The dissipative quasi-geostrophic equation with dispersive forcing is considered. By striking new balances between the dispersive effects of the dispersive forcing and the smoothing effects of the viscous dissipation, we obtain the global well-posedness for Cauchy problem of the dissipative quasi-geostrophic equation with dispersive forcing for arbitrary initial data, provided that the dispersive parameter is large enough.

Keywords

• dissipative quasi-geostrophic equation
• dispersive forcing
• global well-posedness