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Эта публикация цитируется в 7 научных статьях (всего в 7 статьях)
The Vlasov Kinetic Equation, Dynamics of Continuum and Turbulence
Valery V. Kozlov V.A. Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Аннотация:
We consider a continuum of interacting particles whose evolution is governed by the Vlasov kinetic equation. An infinite sequence of equations of motion for this medium (in the Eulerian description) is derived and its general properties are explored. An important example is a collisionless gas, which exhibits irreversible behavior. Though individual particles interact via a potential, the dynamics of the continuum bears dissipative features. Applicability of the Vlasov equations to the modeling of small-scale turbulence is discussed.
Ключевые слова:
kinetic Vlasov’s equation, Euler’s equation, continuum, turbulence.
Поступила в редакцию: 06.01.2011 Принята в печать: 03.03.2011
Образец цитирования:
Valery V. Kozlov, “The Vlasov Kinetic Equation, Dynamics of Continuum and Turbulence”, Regul. Chaotic Dyn., 16:6 (2011), 602–622
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd459 https://www.mathnet.ru/rus/rcd/v16/i6/p602
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