Kinetic Boltzmann, Vlasov and Related Equations

Nonfiction, Science & Nature, Mathematics, Applied, Science
Cover of the book Kinetic Boltzmann, Vlasov and Related Equations by Alexander Sinitsyn, Eugene Dulov, Victor Vedenyapin, Elsevier Science
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Author: Alexander Sinitsyn, Eugene Dulov, Victor Vedenyapin ISBN: 9780123877802
Publisher: Elsevier Science Publication: June 17, 2011
Imprint: Elsevier Language: English
Author: Alexander Sinitsyn, Eugene Dulov, Victor Vedenyapin
ISBN: 9780123877802
Publisher: Elsevier Science
Publication: June 17, 2011
Imprint: Elsevier
Language: English

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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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.

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