This paper aims at the long-time behavior of non-autonomous 2D Navier–Stokes equations with a class of external forces which are $H$-valued measures in time. We first establish the well-posedness of solutions as well as the existence of a strong uniform attractor, and then pay the main attention on the estimation of $𝜀$-entropy for such uniform attractor in the standard energy phase space.

中文翻译：

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具有弱正态测量的二维纳维-斯托克斯方程的均匀吸引子的熵估计

本文旨在研究具有一类外力的非自治二维 Navier-Stokes 方程的长期行为，这些外力是$H$-及时采取措施。我们首先建立解决方案的适定性以及强均匀吸引子的存在，然后主要关注估计$𝜀$-标准能量相空间中这种均匀吸引子的熵。