中科院数学与系统科学研究院

数学研究所

偏微分方程研讨班

报告人：Prof. Boritchev Alexandre(法国里昂大学)

题  目：Small-scale behaviour and turbulence for the randomly forced Burgers equation

时  间：2018.10.18（星期四）, 14:30-16:30

地  点：数学院南楼N902室

摘  要：We consider a well-known simplified model for 3D turbulence, the 1D or multi-dimensional potential Burgers equation, with spatially smooth stochastic forcing. We give sharp estimates for small-scale quantities such as increments and energy spectrum, and then we say a few words about the dynamical features of this equation, and in particular the speed of convergence to the stationary measure.