4 papers
Fisher information for the multi-species Landau system
Yuzhe Zhu
We consider the Fisher information for spatially homogeneous multi-species Landau system. We show that the mass-weighted Fisher information is monotone decreasing in time along the…
Sharp boundary regularity properties for hypoelliptic kinetic equations
Yuzhe Zhu
We establish sharp boundary regularity results for solutions to kinetic Fokker-Planck equations under prescribed inflow boundary conditions, providing precise quantification of the…
On the Fermi-Dirac-type Fisher information
Yuzhe Zhu
We consider kinetic models for Fermi-Dirac-like particles obeying the exclusion principle. A generalized notion of Fisher information, tailored to kinetic equations of Fermi-Dirac-…
Averaging lemmas and hypoellipticity
Yuzhe Zhu
We use the methods of commutator and fundamental solutions to establish averaging lemmas and hypoelliptic estimates for purely kinetic transport equations. Assuming certain amount…