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The Resource Stochastic dynamics and Boltzmann hierarchy, by D. Ya. Petrina

Stochastic dynamics and Boltzmann hierarchy, by D. Ya. Petrina

Label
Stochastic dynamics and Boltzmann hierarchy
Title
Stochastic dynamics and Boltzmann hierarchy
Statement of responsibility
by D. Ya. Petrina
Creator
Subject
Language
eng
Summary
"This book starts with a survey of results concerning existence of solutions of the BBGKY hierarchy for a system of hard spheres. It is followed (a) by a justification of the Boltzmann-Grad limit, (b) a derivation of the stochastic dynamics from the Hamiltonian dynamics of hard spheres in the Boltzmann-Grad limit, and (c) a derivation of the Ito-Liouville equation. In the next chapter, the stochastic Boltzmann hierarchy with boundary conditions is derived from the stochastic dynamics of point particles. Subsequently the existence of solutions of the stochastic Boltzmann hierarchy is proved and the property of chaos is established, and these results are used to deduce the Boltzmann equation."--Jacket
Member of
Cataloging source
YDXCP
http://library.link/vocab/creatorName
Petrina, D. I︠A︡.
Dewey number
516
Illustrations
illustrations
Index
index present
LC call number
QC175.2
LC item number
.P48 2009
Literary form
non fiction
Nature of contents
bibliography
Series statement
De Gruyter expositions in mathematics ,
Series volume
48
http://library.link/vocab/subjectName
  • Transport theory
  • Stochastic processes
  • Maxwell-Boltzmann distribution law
  • Hamiltonian systems
Label
Stochastic dynamics and Boltzmann hierarchy, by D. Ya. Petrina
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • BBGKY hierarchy solution for a hard spheres system with inelastic collisions
  • Preface -- Introduction
  • System of hard spheres
  • Stochastic dynamics as the limit of the Hamiltonian dynamics of hard spheres
  • Stochastic Boltzmann hierarchy
  • Solutions of the stochastic Boltzmann hierarchy
  • Spatially homogeneous Boltzmann hierarchy
  • Stochastic dynamics for the Boltzmann equation with arbitrary differential scattering cross section
  • Analog of Liouville equation and BBGKY hierarchy for a system of hard spheres with inelastic collisions
Control code
297144780
Dimensions
25 cm
Extent
xiii, 295 pages
Isbn
9783110208047
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)297144780
Label
Stochastic dynamics and Boltzmann hierarchy, by D. Ya. Petrina
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • BBGKY hierarchy solution for a hard spheres system with inelastic collisions
  • Preface -- Introduction
  • System of hard spheres
  • Stochastic dynamics as the limit of the Hamiltonian dynamics of hard spheres
  • Stochastic Boltzmann hierarchy
  • Solutions of the stochastic Boltzmann hierarchy
  • Spatially homogeneous Boltzmann hierarchy
  • Stochastic dynamics for the Boltzmann equation with arbitrary differential scattering cross section
  • Analog of Liouville equation and BBGKY hierarchy for a system of hard spheres with inelastic collisions
Control code
297144780
Dimensions
25 cm
Extent
xiii, 295 pages
Isbn
9783110208047
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)297144780

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