Global existence for two‐velocity models of the Boltzmann equation

摘要

AbstractIfAis a symmetric 2 × 2‐matrix,then the initial value problemdescribes the evolution in time of a fictive gas whose particles can move only with the velocitiesu1andv2. It is proved that, for continuous initial values vanishing at infinity, (1) has a global solution if anH‐Theorem holds for the gas described by (1). The validity of anH‐Theorem is expressed by the properti