In this paper we first show a blow-up criterion for solutions to the Navier-Stokes equations with a time-independent force by using the profile decomposition method. Based on the orthogonal properties related to the profiles, we give some examples of global solutions to the Navier-Stokes equations with a time-independent force, whose initial data are large.

中文翻译：

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Navier-Stokes方程的爆破判据和整体解的例子

在本文中，我们首先使用轮廓分解方法，给出了具有时间独立力的Navier-Stokes方程解的爆炸准则。基于与这些轮廓相关的正交特性，我们给出了具有独立于时间的力的Navier-Stokes方程的整体解的一些示例，其初始数据很大。