具有非线性阻尼的Navier-Stokes-Voigt方程的拉回吸引子

Abstract

Abstract:

In this paper, we are concerned with the long-time behavior of solutions to the non-autonomous Navier-Stokes-Voigt equations with nonlinear damping. Firstly, we prove the existence and uniqueness of global weak solutions by the Galerkin method. Then, we focus on studying the existence of pullback attractors by using an energy method, which is more simple than the weak continuous method to establish the uniformly asymptotical compactness. In addition, some relationships between the attractors for the universe of fixed bounded sets and those associated to a universe given by another tempered condition are established.

Key words: Pullback attractors, Non-autonomous, Navier-Stokes-Voigt equation, Nonlinear damping

CLC Number:

O175.26

Xiaoming Peng,Xiaoxiao Zheng,Yadong Shang. Pullback Attractors for Navier-Stokes-Voigt Equations with Nonlinear Damping[J].Acta mathematica scientia,Series A, 2021, 41(2): 357-369.

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References 33

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Pullback Attractors for Navier-Stokes-Voigt Equations with Nonlinear Damping

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