Kinetic equations serve as fundamental tools for understanding the statistical behaviour of particles within a system, bridging the microscopic world of individual particle interactions with ...

Methods of solution of the Boltzmann equation for the distribution of electrons in an anisotropic metal are discussed. Some general properties of integral equations are used to develop a method ...

This is a preview. Log in through your library . Abstract A general theoretical treatment is given of the linearized Boltzmann equation for flow in a bounded medium under conditions when the collision ...

Mathematicians have found solutions to a 140-year-old, 7-dimensional equation that were not known to exist for more than a century despite its widespread use in modeling the behavior of gases.