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Weak pullback attractors for stochastic Navier-Stokes equations with nonlinear diffusion terms


Author: Bixiang Wang
Journal: Proc. Amer. Math. Soc. 147 (2019), 1627-1638
MSC (2010): Primary 37L55; Secondary 37B55, 35B41, 35B40
DOI: https://doi.org/10.1090/proc/14356
Published electronically: December 19, 2018
MathSciNet review: 3910427
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Abstract: This paper is concerned with the asymptotic behavior of the solutions of the two-dimensional stochastic Navier-Stokes equations driven by white noise with nonlinear diffusion terms. We prove the existence and uniqueness of weak pullback mean random attractors for the equations in Bochner spaces when the diffusion terms are Lipschitz nonlinear functions.


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Additional Information

Bixiang Wang
Affiliation: Department of Mathematics, New Mexico Institute of Mining and Technology, Socorro, New Mexico 87801
MR Author ID: 314148
Email: bwang@nmt.edu

Keywords: Weak pullback attractor, mean random attractor, nonlinear diffusion, Navier-Stokes equation
Received by editor(s): March 13, 2018
Received by editor(s) in revised form: August 9, 2018
Published electronically: December 19, 2018
Communicated by: Wenxian Shen
Article copyright: © Copyright 2018 American Mathematical Society