Stochastic Dynamics and Boltzmann Hierarchy.
Title:
Stochastic Dynamics and Boltzmann Hierarchy.
Author:
Petrina, Dmitri Ya.
ISBN:
9783110213201
Personal Author:
Physical Description:
1 online resource (309 pages)
Series:
De Gruyter Expositions in Mathematics ; v.48
De Gruyter Expositions in Mathematics
Contents:
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.
Abstract:
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.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
Genre:
Electronic Access:
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