Existence and Uniqueness Theory of the Vlasov Equation (Classic Reprint) - Softcover

Stephen Wollman

 
9781333457976: Existence and Uniqueness Theory of the Vlasov Equation (Classic Reprint)

Synopsis

This book offers a novel approach to understanding the mathematical intricacies of the Vlasov equation, a system of equations that describes the motion of particles in the presence of their own self-generated electrostatic or gravitational field. These equations arise in various branches of physics, including plasma physics, astrophysics, and statistical mechanics. The author presents a comprehensive analysis of the Vlasov-Poisson system and the Vlasov-Maxwell system, providing detailed proofs of existence and uniqueness theorems for solutions to these systems. Furthermore, the book explores specific cases such as the spherically symmetric Vlasov-Poisson system, offering a deeper understanding of their behavior and properties. Through the author's rigorous mathematical approach, readers gain insights into the fundamental principles governing the dynamics of charged particles in self-consistent fields, contributing to the broader understanding of complex physical systems.

"synopsis" may belong to another edition of this title.

Other Popular Editions of the Same Title