Stochastic dynamics and Boltzmann hierarchy /

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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 m...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Petrina, D. I͡A. (Dmitriĭ I͡Akovlevich)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; New York : W. de Gruyter, ©2009.
Colección:De Gruyter expositions in mathematics ; 48.
Temas:
Transport theory.
Stochastic processes.
Stochastic Processes
Théorie du transport.
Processus stochastiques.
MATHEMATICS > Geometry > General.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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