Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space
Hongjie Dong, Dapeng Du
Abstract
We study the critical dissipative quasi-geostrophic equations in 2 with arbitrary H1 initial data. After showing certain decay estimate, a global well-posedness result is proved by adapting the method in [11] with a suitable modification. A decay in time estimate for higher order homogeneous Sobolev norms of solutions is also discussed.
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