This article investigates the three-dimensional globally modified Navier–Stokes equations with unbounded variable delays. Firstly, we prove the global well-posedness of the solutions, and give the existence of the pullback attractor for the associated process. Then, we construct a family of invariant Borel probability measures, which is supported by the pullback attractor.

中文翻译：

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具有无穷可变时滞的3D全局修改Navier-Stokes方程的不变测度

本文研究了具有无穷可变延迟的三维全局修改的Navier-Stokes方程。首先，我们证明了这些解的全局适定性，并给出了相关过程的回撤吸引子的存在。然后，我们构造了一个不变的Borel概率测度族，该族由回调吸引子支持。