Asymptotic Behavior and Anomalous Dissipation of a General Class of Forced Active Scalar Equations

This is a RGC funded project through the General Research Fund (GRF) with the amount of HK$598,015. The present project studies an abstract class of forced active scalar equations with emphasis on well-posedness, long time behaviour and anomalous dissipation, which arises in a variety of physical models including the magneto-geostrophic equation, incompressible porous media Brinkman equation and surface quasi-geostrophic equation.

Funding Source: RGC - General Research Fund (GRF)