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], 2010, Volume 6, Number 2, Pages 143–182 (Mi jmag147)  
This article is cited in 6 scientific papers (total in 6 papers)

Global weak solutions to the Navier–Stokes–Vlasov–Poisson system

O. Anoshchenkoa, E. Khruslovb, H. Stephanc

a Department of Mechanics and Mathematics, V. N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv, 61077, Ukraine
b Mathematical Division, B. Verkin Institute for Low Temperature Physics and Engineering, 47 Lenin Ave., Kharkiv, 61103, Ukraine
c Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, Berlin, D-10117, Germany
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Abstract: We consider the Navier–Stokes–Vlasov–Poisson system describing the flow of a viscous incompressible fluid containing small solid charged particles. The existence result for weak global solutions of the corresponding boundary value problem is obtained.
Key words and phrases: Navier–Stokes equation, Vlasov–Poisson equation, suspensions, global weak solution, modified Galerkin method, compactness of approximations.
Received: 11.11.2009
Bibliographic databases:
Document Type: Article
MSC: 76D05, 35J05, 76T20
Language: Russian
Citation: O. Anoshchenko, E. Khruslov, H. Stephan, “Global weak solutions to the Navier–Stokes–Vlasov–Poisson system”, Zh. Mat. Fiz. Anal. Geom., 6:2 (2010), 143–182
Citation in format AMSBIB
\Bibitem{AnoKhrSte10}
\by O.~Anoshchenko, E.~Khruslov, H.~Stephan
\paper Global weak solutions to the Navier--Stokes--Vlasov--Poisson system
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2010
\vol 6
\issue 2
\pages 143--182
\mathnet{http://mi.mathnet.ru/jmag147}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2683065}
\zmath{https://zbmath.org/?q=an:05794642}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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