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摘要
In this paper we show that after suitable data randomization there exists a large set of supercritical periodic initial data, in H-alpha(T-d) for some alpha(d) > 0, for both two- and three- dimensional Navier Stokes equations for which global energy bounds hold. As a consequence, we obtain almost sure large data supercritical global weak solutions. We also show that in two dimensions these global weak solutions are unique.
- 出版日期2013
