Hypocoercivity for kinetic linear equations in bounded domains with general Maxwell boundary condition
We establish the convergence to the equilibrium for various linear collisional kinetic equations (including linearized Boltzmann and Landau equations) with physical local conservation laws in bounded domains with general Maxwell boundary condition. Our approach allows us to treat general domains with all types of boundary conditions (including the specular reflection boundary condition) in a unified framework.
Jul 13, 2022