A new Bernstein’s Inequality and the 2D Dissipative Quasi-Geostrophic Equation
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چکیده
We show a new Bernstein’s inequality which generalizes the results of CannonePlanchon, Danchin and Lemarié-Rieusset. As an application of this inequality, we prove the global well-posedness of the 2D quasi-geostrophic equation with the critical and supercritical dissipation for the small initial data in the critical Besov space, and local wellposedness for the large initial data. Mathematics Subject Classification (2000): 76U05, 76B03, 35Q35
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تاریخ انتشار 2008