Topics in Kinetic Theory - Fields Institute Communications

Topics in Kinetic Theory offers a comprehensive exploration of kinetic theory in neutral gases and magnetized plasmas, with extensions to quantum plasmas and granular flows. This Fields Institute Communications volume, originating from the Thematic Program on Partial Differential Equations held in Toronto from August 2003 to June 2004, presents rigorous mathematical treatments of the Boltzmann equations and other kinetic equations governing neutral gas behaviour. The book details the derivation and rigorous justification of compressible and incompressible fluid dynamical systems from kinetic theory foundations. Multiple contributions address collisionless magnetized plasmas, with emphasis on well-posedness results for the Vlasov-Maxwell system. Published by the American Mathematical Society, this volume serves researchers and advanced students in mathematical physics and partial differential equations seeking deeper understanding of kinetic theory applications across diverse physical systems.