In this paper,I consider the initial boundary problem for Navier-Stokes equation coupled with Smoluchowskie equation in a bounded smooth domainΩ⊂R3.In view of the local strong solutions obtained by Ballew in,I establish some a priori estimates globally in time,and then prove the global solutions.%考虑一类Navier-Stokes-Smoluchowski方程组在有界光滑区域Ω⊂R3中的初边值问题。利用Ballew在其博士论文中得到的局部强解，对强解建立一系列与时间无关的先验估计，最后得到此模型的整体强解。
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