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Global well-posedness of critical surface quasi-geostrophic equation with both velocity and dissipation being logarithmically supercritical
We prove the global regularity of smooth solutions for a dissipative surface quasi-geostrophic equation with both velocity and dissipation being logarithmically supercritical compared to the critical equation. By this, we mean that a symbol defined as a power of logarithm is added to both velocity and dissipation terms to penalize …