国家天元数学中部中心随机分析系列报告 | 罗德军 研究员(中科院数学与系统科学研究院)

发布时间: 2023-03-18 11:22

报告题目:Some Recent Results on Regularization by Transport Noise for Fluid Dynamical Models

报告时间:2023-3-24  15:30 - 16:30

报告人:罗德军 研究员  中科院数学与系统科学研究院

腾讯会议ID:893-4129-1815

Abstract: According to heuristic arguments and some recent rigorous studies, transport noise is a physically well motivated random perturbation to fluid dynamical equations. In this talk we introduce several results on regularizing effects of transport noise, including suppression of blow-up for the vorticity form of 3D Navier-Stokes equations and asymptotic weak uniqueness for stochastic 2D Euler equation. We also mention regularizing effects of transport-type noise to other models such as the inviscid Leray-alpha model and the dyadic model for turbulence.