My current research interests are partial differential equations, nonlinear analysis, kinetic theory, and fluid dynamics, especially the Boltzmann equation and the relativistic Boltzmann equation in general relativity. The research topics include wave patterns, spectral analysis, boundary theory, existence and regularity, pseudo-differential calculus, semigroup theory, rate of convergence, etc. 

 

Kinetic equations are fundamental in many areas of physics, including plasma physics, astrophysics, and particle physics, to describe the behavior of gases as a large number of individual particles in motion. This theory is different from other kinds of partial differential equations (PDEs) because it is based on statistical mechanics rather than deterministic equations. This means that instead of using precise mathematical equations, the kinetic theory relies on statistical methods to predict the overall behavior of the particles in the system. 

 

Here are my ORCiD and Google Scholar profiles. 

ORCiD: 0000-0001-9678-314X