Global classical solutions for the general planar Broadwell model with arbitrary velocity orientation: a fixed-point framework

Abstract

The present work provides a non-axis-aligned test of a fixed-point framework previously developed for some multidimensional discrete kinetic equations. The framework is applied to the general four-velocity planar Broadwell model with an arbitrary orientation angle. The analysis identifies the geometric and analytic properties that are independent of the particular orientation of the discrete velocities.