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This article is cited in 6 scientific papers (total in 6 papers)
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
Abstract:
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.
Keywords:
kinetic Vlasov’s equation, Euler’s equation, continuum, turbulence.
Received: 06.01.2011 Accepted: 03.03.2011
Citation:
Valery V. Kozlov, “The Vlasov Kinetic Equation, Dynamics of Continuum and Turbulence”, Regul. Chaotic Dyn., 16:6 (2011), 602–622
Linking options:
https://www.mathnet.ru/eng/rcd459 https://www.mathnet.ru/eng/rcd/v16/i6/p602
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