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- W2024564326 abstract "Let $Omega=[0,L_1]times[0,L_2]times[0,epsilon]$ where$L_1,L_2>0$ and $epsilonin(0,1)$.We consider the Navier-Stokes equationswith periodic boundary conditionsandprove that if $ || 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 $u_0$." @default.
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- W2024564326 date "2006-01-01" @default.
- W2024564326 modified "2023-09-27" @default.
- W2024564326 title "Regularity of the Navier-Stokes equation in a thin periodic domain with large data" @default.
- W2024564326 doi "https://doi.org/10.3934/dcds.2006.16.67" @default.
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