Stochastic Dynamics and Boltzmann Hierarchy / / Dmitri Ya. Petrina.

• Superior document: Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package
• VerfasserIn: Petrina, Dmitri Ya.,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2009]; ©2009
• Year of Publication: 2009
• Language: English
• Series: De Gruyter Expositions in Mathematics , 48
• Physical Description: 1 online resource (295 p.)
• Other title: Frontmatter --; Contents --; Introduction --; Chapter 1. System of hard spheres --; Chapter 2. Stochastic dynamics as the limit of the Hamiltonian dynamics of hard spheres --; Chapter 3. Stochastic Boltzmann hierarchy --; Chapter 4. Solutions of the stochastic Boltzmann hierarchy --; Chapter 5. Spatially homogeneous Boltzmann hierarchy --; Chapter 6. Stochastic dynamics for the Boltzmann equation with arbitrary differential scattering cross section --; Chapter 7. Analog of Liouville equation and BBGKY hierarchy for a system of hard spheres with inelastic collisions --; Chapter 8. Solution of BBGKY hierarchy for a system of hard spheres with inelastic collisions --; Backmatter
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110213201; 9783110494969; 9783110238570; 9783110238471; 9783110637205; 9783110219517; 9783110219524; 9783110219463
• ISSN: 0938-6572
• DOI: 10.1515/9783110213201
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Dmitri Ya. Petrina.

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.