Topics in Kinetic Theory: Thematic Program on Partial Differential Equations, August 2003-june 2004, Toronto, Ontario, Canada (Fields Institute Communications, 46) - Hardcover

9780821837238: Topics in Kinetic Theory: Thematic Program on Partial Differential Equations, August 2003-june 2004, Toronto, Ontario, Canada (Fields Institute Communications, 46)

Hardcover

ISBN 10: 0821837230 ISBN 13: 9780821837238

Publisher: Amer Mathematical Society

This book covers a variety of topics related to kinetic theory in neutral gases and magnetized plasmas, with extensions to other systems such as quantum plasmas and granular flows. A comprehensive presentation is given for the Boltzmann equations and other kinetic equations for a neutral gas, together with the derivations of compressible and incompressible fluid dynamical systems, and their rigorous justification. Several contributions are devoted to collisionless magnetized plasmas. Rigorous results concerning the well-posedness of the Vlasov-Maxwell system are presented. Special interest is devoted to asymptotic regimes where the scales of variation of the electromagnetic field are clearly separated from those associated with the gyromotion of the particles. This volume collects lectures given at the Short Course and Workshop on Kinetic Theory organized at the Fields Institute of Mathematical Sciences in Toronto during the Spring of 2004.

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