Kinetic Boltzmann, Vlasov and Related Equations
eBook - ePub

Kinetic Boltzmann, Vlasov and Related Equations

  1. 320 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Kinetic Boltzmann, Vlasov and Related Equations

About this book

Boltzmann and Vlasov equations played a great role in the past and still play an important role in modern natural sciences, technique and even philosophy of science. Classical Boltzmann equation derived in 1872 became a cornerstone for the molecular-kinetic theory, the second law of thermodynamics (increasing entropy) and derivation of the basic hydrodynamic equations. After modifications, the fields and numbers of its applications have increased to include diluted gas, radiation, neutral particles transportation, atmosphere optics and nuclear reactor modelling. Vlasov equation was obtained in 1938 and serves as a basis of plasma physics and describes large-scale processes and galaxies in astronomy, star wind theory.This book provides a comprehensive review of both equations and presents both classical and modern applications. In addition, it discusses several open problems of great importance. - Reviews the whole field from the beginning to today - Includes practical applications - Provides classical and modern (semi-analytical) solutions

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Information

Publisher
Elsevier
Year
2011
Print ISBN
9780123877796
eBook ISBN
9780123877802
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Cover image
  2. Table of Contents
  3. Front Matter
  4. Copyright
  5. Preface
  6. About the Authors
  7. 1. Principal Concepts of Kinetic Equations
  8. 2. Lagrangian Coordinates
  9. 3. Vlasov-Maxwell and Vlasov-Einstein Equations
  10. 4. Energetic Substitution
  11. 5. Introduction to the Mathematical Theory of Kinetic Equations
  12. 6. On the Family of the Steady-State Solutions of Vlasov-Maxwell System
  13. 7. Boundary Value Problems for the Vlasov-Maxwell System
  14. 8. Bifurcation of Stationary Solutions of the Vlasov-Maxwell System
  15. 9. Boltzmann Equation
  16. 10. Discrete Models of Boltzmann Equation
  17. 11. Method of Spherical Harmonics and Relaxation of Maxwellian Gas
  18. 12. Discrete Boltzmann Equation Models for Mixtures
  19. 13. Quantum Hamiltonians and Kinetic Equations
  20. 14. Modeling of the Limit Problem for the Magnetically Noninsulated Diode
  21. 15. Generalized Liouville Equation and Approximate Orthogonal Decomposition Methods
  22. Glossary of Terms and Symbols
  23. Bibliography

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Yes, you can access Kinetic Boltzmann, Vlasov and Related Equations by Alexander Sinitsyn,Eugene Dulov,Victor Vedenyapin in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over 1.5 million books available in our catalogue for you to explore.