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
地址 北京市海淀区中关村东路55号 思源楼6-7层 南楼5-6、8层 邮编：100190 电子邮箱：iam@amss.ac.cn
