Contact
Dr. Ranis Ibragimov
- Position: Associate Professor of Mathematics
- Educational background:
B.Sc. Novosibirsk State University, Russia
M.Sc. Novosibirsk State University, Russia
Ph.D. University of Waterloo, ONT, Canada. - Research interests: My research interests broadly lie in the applications of Mathematical Modeling (including Differential Equations, Analytic and Numerical Methods, Perturbation theory, Bifurcation phenomena, Asymptotic Methods, Data Analysis, and Statistics) to industrial, engineering, and environmental sciences. As a fluid dynamicist, I have worked on geophysical and environmental flows within a complex geometry. My research is numerically oriented and theoretical in nature.
- Selected publications
- Ibragimov, R.N., Blake, E, “Finding the Fibonacci spiral patterns in atmospheric equatorial waves”, Journal of Applied Mathematics and Physics, 10 (12), (2022)
- Ibragimov, R.N., Mongrian, L., Stimmel, B, Trozkaya, O, “Visualization of exact invariant solutions associated with atmospheric waves in a thin circular layer”, Journal of Applied Mathematics and Physics, 9 (5), (2021)
- Ibragimov, R.N., Vatchev, V., “Correlation between no-slip and slip boundary conditions associated with a two-dimensional Navier-Stokes flows in a plane diffuser”, Journalof Mathematical Sciences: Advances and Applications, 65, 1-23, (2021)
- Ibragimov, R.N., “Effects of rotation on planetary internal gravity waves initiated by the stratospheric polar vortex”, International Journal of Non-Linear Mechanics, 126, 103588, (2020)
- Ibragimov, R.N., Arndt, N., Lin, G., et al. “Energy spectrum of linear internal wave filed in the vicinity of continental slope”, Journal of Applied Mathematics and Physics, to appear (2020)
- Ibragimov, R.N., Mohazzabi, P., Roembke, R., Van Ee, J., “Asymptotic stability of the polar vortex perturbed by harmonic waves describing atmospheric gravity waves circulating in an equatorial plane of a spherical planet”, to appear in Mathematical Modeling of Natural Phenomena, 13 (4), (2018)
- Ibragimov, N.H., Ibragimov, R.N., Kovalev, V.F., “Invariant solutions and shock atmospheric waves in a thin circular layer”, MathematicalModeling of Natural Phenomena, 13 (19), pp. 14-35, (2018)
- Ibragimov, R.N., Bakhtiyarov, S.I., Zweigart, P., “Correlation between three-dimensional sine sweep dynamics vibration testing and resonantly interacting internal gravity wave field”, Mathematical Modeling of Natural Phenomena, 12 (1), pp. 36-72, (2017)
- Ibragimov, R.N., Lejmbach, K., “Mathematical modelling describing effects of corrugation scales on efficiency of mixing in the vicinity of ocean’s deep Continental slope”, Journal of Aquaculture & Marine Biology, 5 (4): 00128, (2017)
- Ibragimov, R.N., “Mathematical modeling of equatorial atmospheric waves similar to those traveling along a hexagon-shaped path at the north pole of Saturn”, Mathematical Modeling of Natural Phenomena, 12 (3), pp.146-156, (2017)
- Ibragimov, R.N., Ibragimov, N.H., Mohazzabi, P., “Approximate and invariant solutions of a mathematical model describing a simple one-dimensional blood flow of variable density”, Journal of Applied Mathematics and Physics, 5, pp. 1335-1354, (2017)
- Ibragimov, R.N., Lin, G., “Nonlinear analysis of perturbed rotating whirlpools in the ocean and b atmosphere”, Mathematical Modeling of Natural Phenomena, 12 (1), pp. 9-29, (2017)
