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

Wang, Bixiang

doi:10.1090/proc/14356

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

Proc. Amer. Math. Soc. 147 (2019), 1627-1638

DOI: https://doi.org/10.1090/proc/14356

Published electronically: December 19, 2018

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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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