Many-Particle Dynamics and Kinetic Equations

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.

subjects: Special Functions,  Physics,  Distribution (Probability theory),  Functions, special,  Mathematics,  Mathematical and Computational Physics Theoretical,  Dynamical Systems and Complexity Statistical Physics,  Applications of Mathematics,  Probability Theory and Stochastic Processes