Ibragimov, Ranis; Mohazzabi, Pirooz; Roembke, Rebecca; van Ee, Justin Asymptotic stability of a polar vortex perturbed by harmonic waves describing atmospheric gravity waves circulating in an equatorial plane of a spherical planet. (English) Zbl 1408.35195 Math. Model. Nat. Phenom. 13, No. 4, Paper No. 36, 20 p. (2018). MSC: 35Q86 86A10 86A05 35R35 35B35 76B15 PDFBibTeX XMLCite \textit{R. Ibragimov} et al., Math. Model. Nat. Phenom. 13, No. 4, Paper No. 36, 20 p. (2018; Zbl 1408.35195) Full Text: DOI
Ibragimov, Nail H.; Ibragimov, Ranis N.; Kovalev, Vladimir F. Invariant solutions and shock atmospheric waves in a thin circular layer. (English) Zbl 1408.35194 Math. Model. Nat. Phenom. 13, No. 2, Paper No. 19, 22 p. (2018). MSC: 35Q86 86A10 86A05 35R35 76B15 76L05 PDFBibTeX XMLCite \textit{N. H. Ibragimov} et al., Math. Model. Nat. Phenom. 13, No. 2, Paper No. 19, 22 p. (2018; Zbl 1408.35194) Full Text: DOI Link
Ibragimov, Ranis N. Effects of zonal flows on correlation between energy balance and energy conservation associated with nonlinear nonviscous atmospheric dynamics in a thin rotating spherical shell. (English) Zbl 1390.35247 Anal. Math. Phys. 8, No. 1, 11-24 (2018). MSC: 35Q31 86A10 86A05 76U05 76B60 76B15 PDFBibTeX XMLCite \textit{R. N. Ibragimov}, Anal. Math. Phys. 8, No. 1, 11--24 (2018; Zbl 1390.35247) Full Text: DOI
Ibragimov, R. N.; Lin, G. Nonlinear analysis of perturbed rotating whirlpools in the Ocean and atmosphere. (English) Zbl 1445.76033 Math. Model. Nat. Phenom. 12, No. 1, 94-114 (2017). MSC: 76B55 76B15 76U60 86A05 76E20 76E30 PDFBibTeX XMLCite \textit{R. N. Ibragimov} and \textit{G. Lin}, Math. Model. Nat. Phenom. 12, No. 1, 94--114 (2017; Zbl 1445.76033) Full Text: DOI Link
Ibragimov, R. N.; Bakhtiyarov, S.; Zweigart, P. Correlation between three-dimensional sine sweep dynamics vibration testing and resonantly interacting internal gravity wave field. (English) Zbl 1462.76035 Math. Model. Nat. Phenom. 12, No. 1, 62-93 (2017). MSC: 76B55 76U60 76-05 35Q35 86A05 PDFBibTeX XMLCite \textit{R. N. Ibragimov} et al., Math. Model. Nat. Phenom. 12, No. 1, 62--93 (2017; Zbl 1462.76035) Full Text: DOI Link
Ibragimov, R. N. Baroclinic Kelvin waves in a rotating circular basin. (English) Zbl 1252.35023 Math. Model. Nat. Phenom. 7, No. 2, 38-51 (2012). Reviewer: Svetlana A. Grishina (Ul’yanovsk) MSC: 35B06 35Q35 86A05 PDFBibTeX XMLCite \textit{R. N. Ibragimov}, Math. Model. Nat. Phenom. 7, No. 2, 38--51 (2012; Zbl 1252.35023) Full Text: DOI EuDML
Ibragimov, Ranis N.; Vatchev, Vesselin Approximation of the Garrett-Munk internal wave spectrum. (English) Zbl 1255.76018 Phys. Lett., A 376, No. 2, 94-101 (2011). MSC: 76B55 76E20 86A05 76M22 PDFBibTeX XMLCite \textit{R. N. Ibragimov} and \textit{V. Vatchev}, Phys. Lett., A 376, No. 2, 94--101 (2011; Zbl 1255.76018) Full Text: DOI
Ibragimov, Ranis N.; Dameron, Michael Spinning phenomena and energetics of spherically pulsating patterns in stratified fluids. (English) Zbl 1219.86005 Phys. Scr. 84, No. 1, Article ID 015402, 10 p. (2011). MSC: 86A05 86A10 76B70 35Q86 PDFBibTeX XMLCite \textit{R. N. Ibragimov} and \textit{M. Dameron}, Phys. Scr. 84, No. 1, Article ID 015402, 10 p. (2011; Zbl 1219.86005) Full Text: DOI
Ibragimov, Nail H.; Ibragimov, Ranis N. Application of Lie group analysis in geophysical fluid dynamics. (English) Zbl 1240.76001 Series on Complexity, Nonlinearity, and Chaos 2. Hackensack, NJ: World Scientific; Beijing: Higher Education Press (ISBN 978-981-4340-46-5/hbk). x, 215 p. (2011). Reviewer: Willi-Hans Steeb (Johannesburg) MSC: 76-06 76Z99 86A05 35Q86 PDFBibTeX XMLCite \textit{N. H. Ibragimov} and \textit{R. N. Ibragimov}, Application of Lie group analysis in geophysical fluid dynamics. Hackensack, NJ: World Scientific; Beijing: Higher Education Press (2011; Zbl 1240.76001)
Ibragimov, Ranis N. Mechanism of energy transfers to smaller scales within the rotational internal wave field. (English) Zbl 1348.76042 Math. Phys. Anal. Geom. 13, No. 4, 331-355 (2010). MSC: 76B55 76B70 76U05 86A05 PDFBibTeX XMLCite \textit{R. N. Ibragimov}, Math. Phys. Anal. Geom. 13, No. 4, 331--355 (2010; Zbl 1348.76042) Full Text: DOI
Ibragimov, Nail H.; Ibragimov, Ranis N. Internal gravity wave beams as invariant solutions of Boussinesq equations in geophysical fluid dynamics. (English) Zbl 1222.86003 Commun. Nonlinear Sci. Numer. Simul. 15, No. 8, 1989-2002 (2010). MSC: 86A05 35Q35 76B55 76B70 76E20 PDFBibTeX XMLCite \textit{N. H. Ibragimov} and \textit{R. N. Ibragimov}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 8, 1989--2002 (2010; Zbl 1222.86003) Full Text: DOI
Ibragimov, Nail H.; Aitbayev, Rakhim; Ibragimov, Ranis N. Three-dimensional non-linear rotating surface waves in channels of variable depth in the presence of formation of a small perturbation of atmospheric pressure across the channel. (English) Zbl 1221.86004 Commun. Nonlinear Sci. Numer. Simul. 14, No. 11, 3811-3820 (2009). MSC: 86A05 76U05 PDFBibTeX XMLCite \textit{N. H. Ibragimov} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 11, 3811--3820 (2009; Zbl 1221.86004) Full Text: DOI
Ibragimov, Ranis Resonant triad model for studying evolution of the energy spectrum among a large number of internal waves. (English) Zbl 1155.35412 Commun. Nonlinear Sci. Numer. Simul. 13, No. 3, 593-623 (2008). MSC: 35Q35 76B55 86A05 PDFBibTeX XMLCite \textit{R. Ibragimov}, Commun. Nonlinear Sci. Numer. Simul. 13, No. 3, 593--623 (2008; Zbl 1155.35412) Full Text: DOI
Ibragimov, Ranis N. On the tidal motion around the Earth complicated by the circular geometry of the ocean’s shape without Coriolis forces. (English) Zbl 0992.76015 Math. Phys. Anal. Geom. 4, No. 1, 51-63 (2001). Reviewer: Dieter Gaier (Gießen) MSC: 76B07 76M40 86A05 30C20 PDFBibTeX XMLCite \textit{R. N. Ibragimov}, Math. Phys. Anal. Geom. 4, No. 1, 51--63 (2001; Zbl 0992.76015) Full Text: DOI
Ibragimov, Ranis N. On the tidal motion around the earth complicated by the circular geometry of the ocean’s shape. (English) Zbl 0952.35101 Electron. J. Differ. Equ. 2000, Paper No. 35, 11 p. (2000). MSC: 35Q35 86A05 76B07 PDFBibTeX XMLCite \textit{R. N. Ibragimov}, Electron. J. Differ. Equ. 2000, Paper No. 35, 11 p. (2000; Zbl 0952.35101) Full Text: EuDML EMIS