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作者 Vedenyapin, Victor
書名 Kinetic Boltzmann, Vlasov and related equations / Victor Vedenyapin, Alexander Sinitsyn, Eugene Dulov
出版項 Amsterdam ; Boston : Elsevier, 2011
國際標準書號 9780123877796 (hbk.)
0123877792 (hbk.)
book jacket
館藏地 索書號 處理狀態 OPAC 訊息 條碼
 數學所圖書室  QC175 V43 2011    在架上    30340200528945
版本 1st ed
說明 xiii, 304 p. : ill. ; 24 cm
系列 Elsevier insights
Elsevier insights
附註 Includes bibliographical references (p. [289]-304)
Principal Concepts of Kinetic Equations -- 2. Lagrangian Coordinates -- 3. Vlasov-Maxwell and Vlasov-Einstein Equations -- 4. Energetic Substitution -- 5. Introduction to the Mathematical Theory of Kinetic Equations -- 6. On the Family of the Steady-State Solutions of Vlasov-Maxwell System -- 7. Boundary Value Problems for the Vlasov-Maxwell System -- 8. Bifurcation of Stationary Solutions of the Vlasov-Maxwell System -- 9. Boltzmann Equation -- 10. Discrete Models of Boltzmann Equation -- 11. Method of Spherical Harmonics and Relaxation of Maxwellian Gas -- 12. Discrete Boltzmann Equation Models for Mixtures -- 13. Quantum Hamiltonians and Kinetic Equations -- 14. Modeling of the Limit Problem for the Magnetically Noninsulated Diode -- 15. Generalized Liouville Equation and Approximate Orthogonal Decomposition Methods; Glossary of Terms and Symbols
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
主題 Kinetic theory of gases
Evolution equations
Alt Author Sinitsyn, Alexander
Dulov, Eugene
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