: Dmitri Ya. Petrina
: Stochastic Dynamics and Boltzmann Hierarchy
: Walter de Gruyter GmbH& Co.KG
: 9783110213201
: De Gruyter Expositions in MathematicsISSN
: 1
: CHF 176.20
:
: Allgemeines, Lexika
: English
: 308
: Wasserzeichen/DRM
: PC/MAC/eReader/Tablet
: PDF

The monograph is devoted to one of the most important trends in contemporary mathematical physics, the investigation of evolution equations of many-particle systems of statistical mechanics. The book systematizes rigorous results obtained in this field in recent years, and it presents contemporary methods for the investigation of evolution equations of infinite-particle systems.

The book is intended for experts in statistical physics, mathematical physics, and probability theory and for students of universities specialized in mathematics and physics.



D. Ya. Petrina?, formerly Ukrainian Academy of Sciences, Kiev, Ukraine.
Frontmatter1
Contents9
Introduction14
Chapter 1. System of hard spheres27
Chapter 2. Stochastic dynamics as the limit of the Hamiltonian dynamics of hard spheres57
Chapter 3. Stochastic Boltzmann hierarchy106
Chapter 4. Solutions of the stochastic Boltzmann hierarchy162
Chapter 5. Spatially homogeneous Boltzmann hierarchy179
Chapter 6. Stochastic dynamics for the Boltzmann equation with arbitrary differential scattering cross section202
Chapter 7. Analog of Liouville equation and BBGKY hierarchy for a system of hard spheres with inelastic collisions236
Chapter 8. Solution of BBGKY hierarchy for a system of hard spheres with inelastic collisions265
Backmatter286