Many-Particle Dynamics and Kinetic Equations
By: by C. Cercignani, V.I. Gerasimenko, D. Ya. Petrina
Contributors: Gerasimenko, V. I.; Petrina, D. Ya
Series: Mathematics and Its Applications -- 420; Mathematics and Its Applications -- 420.
Publisher: Springer Netherlands; Imprint; Springer
Published: 1997
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 260
ISBN-13: 9789401155588
Description: This book is devoted to the evolution of infinite systems interacting via a short range potential. The Hamilton dynamics is defined through its evolution semigroup and the corresponding Bogolubov-Born-Green-Kirkwood-Yvo n (BBGKY) hierarchy is constructed. The existence of global in time solutions of the BBGKY hierarchy for hard spheres interacting via a short range potential is proved in the Boltzmann-Grad limit and by Bogolubov's and Cohen's methods. <br/> <em>Audience:</em> This volume will be of interest to graduate students and researchers whose work involves mathematical and theoretical physics, functional analysis and probability theory.