Physics – Mathematical Physics
Scientific paper
2008-02-24
SIGMA 4 (2008), 027, 19 pages
Physics
Mathematical Physics
This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (Ju
Scientific paper
10.3842/SIGMA.2008.027
Group classification of the three-dimensional equations describing flows of fluids with internal inertia, where the potential function $W= W(\rho,\dot{\rho})$, 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 volume concentration of gas bubbles, and the dispersive shallow water model. These models are obtained for special types of the function $W(\rho,\dot{\rho})$. Group classification separates out the function $W(\rho,\dot{\rho})$ at 15 different cases. Another part of the manuscript is devoted to one class of partially invariant solutions. This solution is constructed on the base of all rotations. In the gas dynamics such class of solutions is called the Ovsyannikov vortex. Group classification of the system of equations for invariant functions is obtained. Complete analysis of invariant solutions for the special type of a potential function is given.
Meleshko Sergey V.
Siriwat Piyanuch
No associations
LandOfFree
Applications of Group Analysis to the Three-Dimensional Equations of Fluids with Internal Inertia does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Applications of Group Analysis to the Three-Dimensional Equations of Fluids with Internal Inertia, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Applications of Group Analysis to the Three-Dimensional Equations of Fluids with Internal Inertia will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-427238