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Recent Publications     
 
Ibragimov, R.N., “Nonlinear Mathematical Modeling in Atmosphere and Ocean”, LAP Lambert Academic Publishing, ISBN: 978-3-659-33249-4, Copyright © 2013 AV Akedemikerverlag GmbH & Co. KG, (2013)

Ibragimov, R.N., Jefferson, G., Carminati, J., “Invariant and approximately invariant solutions of non-linear internal gravity waves forming a column of stratified fluid affected by the Earth's rotation”, International Journal of Non-Linear Mechanics, 51, 28-44, (2013)

Ibragimov
, R.N., Ibragimov
, N.H., “Nonlinear whirlpools versus harmonic waves in a rotating column of stratified fluid”, Mathematical Modeling of Natural Phenomena, 8 (1), 32-14, (2013)

Araslanov, A.M., Galiakberova, L.R., Ibragimov, R.N., “Conserved vectors for a model of nonlinear atmospheric flows around the rotating spherical surface”, Mathematical  Modeling of Natural Phenomena, 8 (1), 32-48, (2013)

Akinlar, M.A., Ibragimov, R.N., “An efficient deformable image registration method with Mexican hat Wavelets”, Discontinuity, Nonlinearity and Complexity, 1 (4), 405-409, (2012)

Ibragimov, R.N., Dameron, M., Dannangoda, C., “Sources and sinks of energy balance for nonlinear atmospheric motion perturbed by west-to-east winds progressing on a surface of rotating spherical shell”, Discontinuity, Nonlinearity and Complexity, 1 (1), 41-55, (2012)

Ibragimov, R.N., Dameron, M.,"Group theoretical modeling of thermal explosion with reactant consumption", Communications in Nonlinear Science and Numerical Simulations, 17, 3483-3489, (2012)

Ibragimov, R.N., “Baroclinic Kelvin Waves in a Rotating Circular Basin”, Mathematical Modelling of Natural Phenomena, 7 (2), 38 – 51,  (2012)

Ibragimov, R.N., Ibragimov, N.H., “Applications of Lie Group Analysis to Mathematical Modelling in Natural Sciences”, Mathematical Modelling of Natural Phenomena, 7 (2), 52 – 65,  (2012)

Ibragimov, N.H., Ibragimov, R.N., "Rotationally symmetric internal gravity waves", International Journal of Non-Linear Mechanics, 47, 46-52, (2012)

Ibragimov, R.N., "Nonlinear viscous fluid patterns in a thin rotating spherical domain and applications", Physics of Fluids, 23, 123102, (2011)

Ibragimov, R.N., Vatchev, V., "Approximation of the Garrett-Munk internal wave spectrum", Physics Letters A, 376, 94-101, (2011)

Ibragimov, N.H., Ibragimov, R.N., "Integration by quadratures of the nonlinear Euler equations modeling atmospheric flows in a thin rotating spherical shell", Physics Letters A, 375, 3858-3865, (2011)

Ibragimov, R.N., Dameron, M.,"Spinning phenomena and energetics of spherically pulsating patterns in stratified fluids", Physica Scripta, 84, 015402, (2011)

Akinlar, M.A., Ibragimov, R.N., “Application of an image registration method to noisy images”, Sarajevo Journal of Mathematics, 7 (19), 1-9, (2011)

Ibragimov, R.N., Yilmaz, N., Bakhtiyarov, A.S., “Experimental mixing parameterization due to  multiphase fluid-structure interaction”, Mechanics Research Communications 38, 261-266, (2011)

Ibragimov, N.H, Ibragimov, R.N., “Applications of Lie Group Analysis in Geophysical Fluid Dynamics”, Series on Complexity, Nonlinearity and Chaos, Vol 2, World Scientific Publishers,  ISBN: 978-981-4340-46-5, (2011)
 

Ibragimov, R. N., “Effects of rotation on self-resonant internal gravity waves in the ocean”, Ocean Modelling, 31, 80-87, (2010)

Akinlar, M.A., Ibragimov, R.N., “Computational framework for image enhancement”, Applied  Mathematical Science, Vol. 4 (61), 3035 – 3042, (2010)

Ibragimov, R.N., Akinlar, M.A., “Stability and dissipation modeling of oceanic internal gravity waves”, Current Development in Oceanography, 1 (2), 85-128, (2010)

Ibragimov, R.N., “Free boundary effects on stability of two phase planar fluid motion in annulus: Migration of the stable mode”,  Communications in Nonlinear Science and Numerical Simulations, 15 (9), 2361-2374, (2010)

Ibragimov, N.H, Ibragimov, R.N., “Internal gravity wave beams as invariant solutions of Boussinesq equations in geophysical fluid dynamics”, Communications in Nonlinear Science and Numerical Simulations, 15, 1989-2002, 2010)

Ibragimov, R.N., “Mechanism of energy transfers to smaller scales within the rotational internal wave field ”, Springer. Mathematical Physics, Analysis and Geometry, 13 (4), 331-355, (2010)

Ibragimov, R.N., Pelinovsky, D.E., “Effects of rotation on stability of viscous stationary flows on a spherical surface, Physics of Fluids, 22, 126-602, (2010)

Ibragimov, N.H, Aitbayev, R and Ibragimov, R.N., “Three-dimensional  nonlinear rotating  surface waves in channels of variable depth in the presence of formation of a small perturbation of atmospheric pressure across the channel”, Communications in Nonlinear Science and Numerical  Simulations, 14, 3811-3820, (2009)

Ibragimov, N.H., Ibragimov, R.N., “Invariant solutions as internal singularities of nonlinear differential equations and their use for qualitative analysis of implicit and numerical solutions”,  Communications in Nonlinear Science and Numerical Simulations, 14, 3537-3547, (2009)

Ibragimov, R.N., Pelinovsky, D.E., “Incompressible viscous flows in a thin spherical shell”,  Journal of Mathematical Fluid Mechanics, 11, 60-90, (2009)

Yilmaz, N., Bakthiyarov, A.S., Ibragimov, R.N., “Experimental investigation of Newtonian and non-Newtonian flows in porous media”, Mechanics Research Communications, 36 (5), 638-641, (2009) 

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