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Regularity of the Navier-Stokes equation in a thin periodic domain with large data
1. | Department of Mathematics, University of Southern California, Los Angeles, CA 90089 |
$ \|\| \nabla u_0\|\|_{L^2(\Omega)} \le \frac{1}{C(L_1,L_2)\epsilon^{1/6}} $
then there exists a unique global smooth solution with the initial datum $u_0$.
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