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Teoriya Veroyatnostei i ee Primeneniya, 2008, Volume 53, Issue 4, Pages 798–809
DOI: https://doi.org/10.4213/tvp2467 (Mi tvp2467) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Short Communications

Stochastic Micromodel of the Couette Flow

V. A. Malyshev, A. D. Manita

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (1556 kB) Citations (5)
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DOI: https://doi.org/10.4213/tvp2467
Abstract: We study the Markov exclusion process for a particle system with a local interaction in the integer strip. This process models the exchange of velocities and particle-hole exchange of the liquid molecules. It is shown that the mean velocity profile corresponds to the behavior which is characteristic for incompressible viscous liquid. We prove the existence of phase transition between laminar and turbulent profiles.
Keywords: Couette flow, Markov processes with a local interaction, scaling, hydrodynamics.
Received: 27.11.2007
Revised: 30.03.2008
English version:
Theory of Probability and its Applications, 2009, Volume 53, Issue 4, Pages 716–727
DOI: https://doi.org/10.1137/S0040585X97983924
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. A. Malyshev, A. D. Manita, “Stochastic Micromodel of the Couette Flow”, Teor. Veroyatnost. i Primenen., 53:4 (2008), 798–809; Theory Probab. Appl., 53:4 (2009), 716–727
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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