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Эта публикация цитируется в 3 научных статьях (всего в 3 статьях)
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
Аннотация:
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.
Ключевые слова и фразы:
Navier–Stokes equation, Fokker–Planck equation, Poisson equation, global weak solution, modified Galerkin method, fixed point Schauder theorem, compactness of approximations.
Поступила в редакцию: 25.03.2014
Образец цитирования:
O. Anoshchenko, S. Iegorov, E. Khruslov, “Global Weak Solutions of the Navier–Stokes/Fokker–Planck/Poisson Linked Equations”, Журн. матем. физ., анал., геом., 10:3 (2014), 267–299
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jmag594 https://www.mathnet.ru/rus/jmag/v10/i3/p267
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