中国科学院数学与系统科学研究院罗德军研究员学术报告 10月10日上午

发布者:蔡虹发布时间:2020-10-07浏览次数:190

概率统计系列讲座九:


报告题目:【Scaling Limits for Stochastic 2D Euler Equations in the White Noise Regime and in $L^2$-Regime】

时间:2020年10月10日(星期六)上午 09:00 

地点:腾讯会议(会议ID:511 3889 6273)

主讲:中国科学院数学与系统科学研究院,罗德军研究员

主办:数学与信息学院

参加对象:统计系老师与学生


报告摘要:The stochastic 2D Euler equation on the torus, perturbed by multiplicative transport noise, is studied both in the white noise regime and in the more regular regime of L^2-solutions. Under suitable scaling of the noises, we show that the white noise solutions of the stochastic 2D Euler equations converge weakly to the unique stationary solution to the 2D Navier-Stokes equations driven by space-time white noise, while the solutions in the L^2-regime converge weakly to the unique solution of the deterministic 2D Navier-Stokes equations. We also mention some recent progress on the modified Surface Quasi-Geostrophic equations.