Zhang, QianghengCaraballo Garrido, TomásYang, Shuang2025-07-022025-07-022025-04-11Zhang, ., Caraballo Garrido, T. y Yang, S. (2025). Asymptotic behavior of stochastic delay Navier-Stokes equations on unbounded domains. Communications in mathematical sciences, 23 (4), 1139-1166. https://doi.org/10.4310/CMS.25041210726.1539-67461945-0796https://hdl.handle.net/11441/174881In this paper, the random dynamics of non-autonomous stochastic Navier-Stokes equations with variable delays on unbounded Poincaré domains is analysed. First, we establish the existence, uniqueness and backward compactness of pullback random attractors. Second, we study the upper semicontinuity of pullback random attractors as the delay time tends to zero. Finally, we investigate the backward asymptotic autonomy of pullback random attractors. Due to the non-compactness of Sobolev embeddings on unbounded domains, we introduce a stream function to prove backward uniform tailends smallest of solutions, and then establish the backward asymptotic compactness of the solution operators.application/pdf27 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Navier-Stokes equationsDelayUnbounded domainPullback random attractorStream functioninfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.4310/CMS.25041210726