Mathematics Colloquium

Bin Cheng

(University of Surrey)

"Time-averaging and error estimates for reduced fluid models"

Date: Mon, May 5, 2014
Time: 17:15
Place: Research II Lecture Hall

Abstract: I will discuss the application of time-averaging in getting rigorous error estimates of some reduced fluid models, including the quasi-geostrophic approximation, incompressible approximation and zonal flows. The spatial boundary can be present as a non-penetrable solid wall. I will show a very recent (and somewhat surprising) result on the ε2 accuracy of incompressible approximation of Euler equations, thanks to several decoupling properties.