17 citations · 23 across the 4 of their papers we have counts for
4 papers
Group Analysis of Nonlinear Internal Waves in Oceans. III: Additional conservation laws
Nail H. Ibragimov, Ranis N. Ibragimov
Using the maximal Lie algebra of point symmetries of a system of nonlinear equations used in geophysical fluid dynamics, two conservation laws are found in addition to the conserva…
Group Analysis of Nonlinear Internal Waves in Oceans. II: The symmetries and rotationally invariant solution
Nail H. Ibragimov, Ranis N. Ibragimov, Vladimir F. Kovalev
74J30The maximal group of Lie point symmetries of a system of nonlinear equations used in geophysical fluid dynamics is presented. The Lie algebra of this group is infinite-dimensi…
Group Analysis of Nonlinear Internal Waves in Oceans. I: Self-adjointness, conservation laws, invariant solutions
Nail H. Ibragimov, Ranis N. Ibragimov
The paper is devoted to the group analysis of equations of motion of two-dimensional uniformly stratified rotating fluids used as a basic model in geophysical fluid dynamics. It is…
Incompressible viscous fluid flows in a thin spherical shell
Ranis N. Ibragimov, Dmitry E. Pelinovsky
Linearized stability of incompressible viscous fluid flows in a thin spherical shell is studied by using the two-dimensional Navier--Stokes equations on a sphere. The stationary fl…