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

• Date: 2009
• Main Authors: Berezhnoi, M. A., Бережной, М. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2009
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3021
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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, und...