Homogenization of a Linear Nonstationary Navier—Stokes Equations System with a Time-Variant Domain with a Fine-Grained Boundary

• Datum: 2007
• ISSN: 1812-9471
• 1. Verfasser: Radyakin, N.K.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2007
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/7612
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Homogenization of a linear nonstationary Navier - Stokes equations system with a time-variant domain with a fine-grained boundary / N.K. Radyakin // Журн. мат. физики, анализа, геометрии. — 2007. — Т. 3, № 3. — С. 342-364. — Бібліогр.: 6 назв. — англ.

The problem of distortion of viscous incompressible uid with a great number of solid particles with given velocities is considered. The diameters of particles and the distance between them tend to zero, and the number of particles tends to infinity. The asymptotic behavior of the solutions of the l...