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

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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… Click to show full 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: dispersive forcing; dissipative quasi; quasi geostrophic; equation dispersive; geostrophic equation

Journal Title: Axioms
Year Published: 2022

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