Small oscillations of a viscous incompressible fluid with a large number of small interacting particles in the case of their surface distribution

  • M. A. Berezhnoi Технол. ун-т, Дармштадт, Германия; Физ.-техн. ин-т низких температур НАН Украины, Харьков

Abstract

We study the asymptotic behavior of solutions of the problem that describes small motions of a viscous incompressible fluid filling a domain Ω with a large number of suspended small solid interacting particles concentrated in a small neighborhood of a certain smooth surface Γ ⊂ Ω. We prove that, under certain conditions, the limit of these solutions satisfies the original equations in the domain Ω\Γ and some averaged boundary conditions (conjugation conditions) on Γ.
Published
25.03.2009
How to Cite
BerezhnoiM. A. “Small Oscillations of a Viscous Incompressible Fluid With a Large Number of Small Interacting Particles in the Case of Their Surface Distribution”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, no. 3, Mar. 2009, pp. 302-21, https://umj.imath.kiev.ua/index.php/umj/article/view/3021.
Section
Research articles