Wellposedness and singularity formation of inviscid active scalar equations with even or odd constitutive laws

This is a RGC funded project through the General Research Fund (GRF) with the amount of HK$653,250. The present project studies an abstract class of inviscid active scalar equations with even or odd constitutive laws. We propose to address the well-posedness and possible formation of finite time singularity, which have applications on various physical models including the magneto-geostrophic equation, incompressible porous media Brinkman equation and surface quasi-geostrophic equation.

Funding Source: RGC - General Research Fund (GRF)