|Date:||Mon, May 5, 2014|
|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.