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Author Petrina, D. I︠A︡. (Dmitriĭ I︠A︡kovlevich)

Title Stochastic dynamics and Boltzmann hierarchy / by D. Ya. Petrina
Published Berlin ; New York : W. de Gruyter, ©2009

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Description 1 online resource (xiii, 295 pages) : illustrations
Series De Gruyter expositions in mathematics, 0938-6572 ; 48
De Gruyter expositions in mathematics ; 48.
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
Summary 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
Bibliography Includes bibliographical references (pages 273-295) and index
Notes In English
Print version record
Subject Transport theory.
Stochastic processes.
Stochastic Processes
MATHEMATICS -- Geometry -- General.
Stochastic processes
Transport theory
Form Electronic book
ISBN 9783110213201
3110213206
1282296485
9781282296480
3110208040
9783110208047