Author： Chemin Jean-Yves Zhang Ping
Publisher： Taylor & Francis Ltd
E-ISSN： 1532-4133|40|5|878-896
ISSN： 0360-5302
Source： Communications in Partial Differential Equations, Vol.40, Iss.5, 2015-05, pp. : 878-896
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Abstract
By applying Wiegner's method in [16], we first prove the large time decay estimate for the global solutions of a 2.5 dimensional Navier-Stokes system, which is a sort of singular perturbed 2-D Navier-Stokes system in three space dimension. As an application of this decay estimate, we give a simplified proof for the global wellposedness result in [6] for 3-D Navier-Stokes system with one slow variable. Let us also mention that compared with the assumptions for the initial data in [6], here the assumptions in Theorem 1.3 are weaker.
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