Bin Cheng was an invited speaker at the London Mathematical Society sponsored conference on “Mathematics for the Fluid Earth“.  The conference was held 5-7 February at De Morgan House in London.  Bin Cheng spoke on “Time averaging and error estimates for reduced fluid models“.  In his talk Bin discussed 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.  He showed how a very recent (and somewhat surprising) result on the epsilon^2 accuracy of incompressible approximation of Euler equations, thanks to several decoupling properties, is crucial. The talk was based on the following paper.

The website for the conference is here.