Global Well-posedness and a Decay Estimate for the Critical Dissipative Quasi-geostrophic Equation in the Whole Space
نویسنده
چکیده
We study the critical dissipative quasi-geostrophic equations in R with arbitrary H 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.
منابع مشابه
Globally Well-posedness and a Decay Estimate for the Critical Quasi-geostrophic Equation
We study the critical dissipative quasi-geostrophic equations in R with arbitrary H initial data. After showing certain decay estimate, a global well-posedness result is proved by adapting the method in [10]. A decay in time estimate for higher Sobolev norms of solutions is also discussed.
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