Fluid dynamics equations with fractional partial dissipation
 发布时间： 2017-01-09     10:47   【返回上一页】 发布人：数学学院

偏微分方程学术报告

 There have been considerable recent developments on fluid dynamics

equations with partial or fractional dissipation. These partial

differential equations (PDEs) are not only mathematically important

but also physically relevant. This talk focuses on fundamental

mathematical problems on several such PDEs with fractional partial

dissipation including the 3D Navier-Stokes, the 2D Boussinesq

and the 2D MHD equations with fractional partial dissipation.

When there is only fractional partial dissipation, classical tools

such as the maximal regularity estimates for the heat operator

no longer apply. We presents several global regularity results

and the tools developed to obtain such results.