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

By Bixiang Wang. Proceedings of the American Mathematical Society, 2018

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. 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.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Finance

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