Topics in Kinetic Theory - Fields Institute Communications

Explore advanced mathematical concepts in Topics in Kinetic Theory, a volume from the Fields Institute Communications series. This book provides a deep look into kinetic theory within neutral gases and magnetized plasmas, extending its reach to specialized systems like granular flows and quantum plasmas. Readers will find a comprehensive presentation of Boltzmann equations and other kinetic equations for neutral gases. The text includes detailed derivations of both compressible and incompressible fluid dynamical systems, along with their rigorous justification. For those studying plasma physics, several contributions focus on collisionless magnetized plasmas, including rigorous results regarding the well-posedness of the Vlasov-Maxwell system. This work serves as a specialized resource for mathematicians and physicists interested in the thematic program on Partial Differential Equations held in Toronto, Ontario, Canada. It offers a technical foundation for understanding the complex mathematical frameworks that govern gas and plasma dynamics.