Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Prof.Boritchev Alexandre, 法国里昂大学
Inviter:
Title:
Small-scale behaviour and turbulence for the randomly forced Burgers equation
Time & Venue:
2018.10.18 14:30-16:30 N902
Abstract:
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.