Pathwise property of 2D non-autonomous stochastic Navier-Stokes equations with less regular or irregular noise

At present paper, we study the pathwise behavior of the solutions of 2D non-autonomous stochastic Navier-Stokes equation driven by a linear non-degenerate noise. When the stochastic external force is an H - 1 / 2-valued Q-Wiener process and the deterministic non-autonomous external force is normal function in L 2 loc ( R ; V ' ) , we establish the existence of uniform random attractor for the equation in H . We also obtain the regularity of uniform random attractor for the equation driven by the H-valued Q-Wiener process with the deterministic non-autonomous external force being normal in L 2 loc ( R ; H) . Finally, we investigate the existence of uniform random attractor for the equation driven by an H-valued cylindrical Wiener process in H and V , respectively. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.