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- Title
Stability of Pullback Random Attractors for Stochastic 3D Navier-Stokes-Voight Equations with Delays.
- Authors
Zhang, Qiangheng
- Abstract
This paper is concerned with the limiting dynamics of stochastic retarded 3D non-autonomous Navier-Stokes-Voight (NSV) equations driven by Laplace-multiplier noise. We first prove the existence, uniqueness, forward compactness and forward longtime stability of pullback random attractors (PRAs). We then establish the upper semicontinuity of PRAs from non-autonomy to autonomy. Finally, we study the upper semicontinuity of PRAs under an analogue of Hausdorff semi-distance as the memory time tends to zero. Because of the solution has no higher regularity, the forward pullback asymptotic compactness of solutions in the state space is proved by the spectrum decomposition technique.
- Subjects
EQUATIONS; NOISE; DELAY differential equations; MEMORY
- Publication
Acta Applicandae Mathematicae, 2023, Vol 184, Issue 1, p1
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-023-00560-y