Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2014, Volume 10, Number 3, Pages 267–299
DOI: https://doi.org/10.15407/mag10.03.267 (Mi jmag594) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Global Weak Solutions of the Navier–Stokes/Fokker–Planck/Poisson Linked Equations

O. Anoshchenkoa, S. Iegorovb, E. Khruslovc

a Department of Mechanics and Mathematics, V. N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv 61077, Ukraine
b EPAM Systems, 63 Kolomens'ka Str., Kharkiv 61166, Ukraine
c B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv 61103, Ukraine
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DOI: https://doi.org/10.15407/mag10.03.267
Abstract: We consider the initial boundary value problem for the linked Navier–Stokes/Fokker–Planck/Poisson equations describing the flow of a viscous incompressible fluid with highly dispersed infusion of solid charged particles which are subjected to a random impact from thermal motion of the fluid molecules. We prove the existence of global weak solutions for the problem and study some properties of these solutions.
Key words and phrases: Navier–Stokes equation, Fokker–Planck equation, Poisson equation, global weak solution, modified Galerkin method, fixed point Schauder theorem, compactness of approximations.
Received: 25.03.2014
Bibliographic databases:
Document Type: Article
MSC: 35A01, 35Q30, 35Q84
Language: English
Citation: O. Anoshchenko, S. Iegorov, E. Khruslov, “Global Weak Solutions of the Navier–Stokes/Fokker–Planck/Poisson Linked Equations”, Zh. Mat. Fiz. Anal. Geom., 10:3 (2014), 267–299
Citation in format AMSBIB
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\by O.~Anoshchenko, S.~Iegorov, E.~Khruslov
\paper Global Weak Solutions of the Navier--Stokes/Fokker--Planck/Poisson Linked Equations
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2014
\vol 10
\issue 3
\pages 267--299
\mathnet{http://mi.mathnet.ru/jmag594}
\crossref{https://doi.org/10.15407/mag10.03.267}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3470288}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000346135800001}
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    • This publication is cited in the following 3 articles:
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