My main research topic is the Hypocoercivity for Kinetic equations. With Prof. Christian Schmeiser we investigate the laws that rule the convergence to the equilibrium in a variety of kinetic systems. In particular now we are considering a kinetic model with thermalization coupled to a parabolic equation describing the interaction of the gas with its background. The temperature of the backgorund influences locally the thermalization. Thermal and knetic energy are exchanged.
I also worked with Prof. Giulio Schimperna on existence and regularities results for coupled Navier-Stokes and Allen-Cahn systems.