PULLBACK EXPONENTIAL ATTRACTORS FOR THE THREE DIMENSIONAL NON-AUTONOMOUS NAVIER-STOKES EQUATIONS WITH NONLINEAR DAMPING

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PULLBACK EXPONENTIAL ATTRACTORS FOR THE THREE DIMENSIONAL NON-AUTONOMOUS NAVIER-STOKES EQUATIONS WITH NONLINEAR DAMPING

机译：带有非线性阻尼三维非自动Navier-Stokes方程的回调指数吸引子

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The main objective of this paper is to study the long-time behavior of solutions for the three dimensional non-autonomous Navier-Stokes equations with nonlinear damping for r > 4: Inspired by the the methods of l-trajectories in [27], we will prove the existence of a finite dimensional pullback attractor and a pullback exponential attractor, which gives another way of considering the long-time behavior of the non-autonomous evolutionary equations.

机译：本文的主要目的是研究具有非线性阻尼的三维非自治Navier-Stokes方程的解决方案的长时间行为4：由[27]的L-轨迹的方法启发，我们将证明存在有限尺寸回调吸引子和回调指数吸引子，这给出了一种考虑非自主进化方程的长时间行为的另一种方法。

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《Zeitschrift fur Arznei- und Gewurzpflanzen》 |2020年第1期|共26页
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正文语种 eng
中图分类药学;
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Navier-Stokes equations; nonlinear damping; pullback exponential attractor; the methods of l-trajectories;

机译：Navier-Stokes方程式;非线性阻尼;回调指数吸引子;L-轨迹的方法;

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专利

1. PULLBACK EXPONENTIAL ATTRACTORS FOR THE THREE DIMENSIONAL NON-AUTONOMOUS NAVIER-STOKES EQUATIONS WITH NONLINEAR DAMPING [J] . FANG LI, BO YOU Discrete and continuous dynamical systems . 2020,第1期

机译：带有非线性阻尼三维非自动Navier-Stokes方程的回调指数吸引子
2. PULLBACK EXPONENTIAL ATTRACTORS FOR THE THREE DIMENSIONAL NON-AUTONOMOUS NAVIER-STOKES EQUATIONS WITH NONLINEAR DAMPING [J] . Zeitschrift fur Arznei- und Gewurzpflanzen . 2020,第1期

机译：带有非线性阻尼三维非自动Navier-Stokes方程的回调指数吸引子
3. Pullback D $mathcal{D}$ -attractors for three-dimensional Navier-Stokes equations with nonlinear damping [J] . Xue-li Song, Fei Liang, Jian-hua Wu Boundary value problems . 2016,第1期

机译：具有非线性阻尼的三维Navier-Stokes方程的Pullback D $ mathcal {D} $-吸引子
4. On pullback attractors in H² for non-autonomous reaction-diffusion equations [C] . Li Hongyan, Zhang Weisi Chinese Control and Decision Conference . 2014

机译：非自治反应扩散方程H ^{2 中的回拉吸引子}
5. Time-periodic solutions of magnetoelastic systems and embedding of the attractor of 2-dimensional Navier-Stokes equations into euclidean spaces [D] . Mohebbi, Mahdi 2013

机译：磁弹性系统的时间周期解和二维Navier-Stokes方程吸引子嵌入欧氏空间
6. Upper Semicontinuity of Pullback Attractors for the 3D Nonautonomous Benjamin-Bona-Mahony Equations [O] . Xinguang Yang, Xiaosong Wang, Juntao Li, -1

机译：3D非自治Benjamin-Bona-Mahony方程的回撤吸引子的上半连续性
7. Pullback exponential attractors for the three dimensional non-autonomous Navier-Stokes equations with nonlinear damping [O] . Fang Li, Bo You 2020

机译：带有非线性阻尼三维非自动Navier-Stokes方程的回调指数吸引子

PULLBACK EXPONENTIAL ATTRACTORS FOR THE THREE DIMENSIONAL NON-AUTONOMOUS NAVIER-STOKES EQUATIONS WITH NONLINEAR DAMPING

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