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Invariant measures for the 3D globally modified Navier–Stokes equations with unbounded variable delays
Communications in Nonlinear Science and Numerical Simulation ( IF 3.4 ) Pub Date : 2020-07-17 , DOI: 10.1016/j.cnsns.2020.105459 Jintao Wang , Caidi Zhao , Tomás Caraballo
中文翻译:
具有无穷可变时滞的3D全局修改Navier-Stokes方程的不变测度
更新日期:2020-07-17
Communications in Nonlinear Science and Numerical Simulation ( IF 3.4 ) Pub Date : 2020-07-17 , DOI: 10.1016/j.cnsns.2020.105459 Jintao Wang , Caidi Zhao , Tomás Caraballo
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:
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。