The phenomenon of dissipation enhancement by transport noise is shown for stochastic 2D Navier–Stokes equations in velocity form. In the 3D case, suppression of blow-up is proved for stochastic Navier–Stokes equations in vorticity form; in particular, quantitative estimate allows us to choose the parameters of noise, uniformly in initial vorticity bounded in \(L^2\)-norm, so that global solutions exist with a large probability sufficiently close to 1.
Publication: Journal of Dynamics and Differential Equations, 15 September 2023
Author: Dejun Luo,Key Laboratory of RCSDS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China;School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China
Email: luodj@amss.ac.cn
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