Applications of Group Analysis to the Three-Dimensional Equations of Fluids with Internal Inertia

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2008
• ISSN: 1815-0659
• Main Authors: Siriwat, P., Meleshko, S.V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149043
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Applications of Group Analysis to the Three-Dimensional Equations of Fluids with Internal Inertia / P. Siriwat, S.V. Meleshko // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 22 назв. — англ.

Group classification of the three-dimensional equations describing flows of fluids with internal inertia, where the potential function W = W(ρ,ρ·), is presented. The given equations include such models as the non-linear one-velocity model of a bubbly fluid with incompressible liquid phase at small v...