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Dynamics of the 2D Navier-Stokes equations with sublinear operators in Lipschitz-like domains
Discrete and Continuous Dynamical Systems ( IF 1.1 ) Pub Date : 2020-12-17 , DOI: 10.3934/dcds.2020408
Xin-Guang Yang , , Rong-Nian Wang , Xingjie Yan , Alain Miranville , , , ,

This paper is concerned with the tempered pullback dynamics of the 2D Navier-Stokes equations with sublinear time delay operators subject to non-homogeneous boundary conditions in Lipschitz-like domains. By virtue of the estimates of background flow in Lipschitz-like domain and a new retarded Gronwall inequality, we establish the existence of pullback attractors in a general setting involving tempered universes.

中文翻译:

类Lipschitz域中带有亚线性算子的二维Navier-Stokes方程的动力学

本文关注具有亚线性时滞算子的二维Navier-Stokes方程的回弹动力学,该方程受Lipschitz型域中非均匀边界条件的约束。借助于Lipschitz样域中背景流动的估计和新的迟滞Gronwall不等式,我们在涉及回火宇宙的一般环境中建立了回撤吸引子的存在。
更新日期:2020-12-17
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