Skiba, Yuri N. On Liapunov and exponential stability of Rossby-Haurwitz waves in invariant sets of perturbations. (English) Zbl 1443.76240 J. Math. Fluid Mech. 20, No. 3, 1137-1154 (2018). MSC: 76U65 33C90 PDFBibTeX XMLCite \textit{Y. N. Skiba}, J. Math. Fluid Mech. 20, No. 3, 1137--1154 (2018; Zbl 1443.76240) Full Text: DOI
Skiba, Yuri N. Mathematical problems of the dynamics of incompressible fluid on a rotating sphere. (English) Zbl 1391.76003 Cham: Springer (ISBN 978-3-319-65411-9/hbk; 978-3-319-65412-6/ebook). xii, 239 p. (2017). Reviewer: Oleg A. Sinkevich (Moskva) MSC: 76-02 76U05 76D33 76E20 86A05 86A10 PDFBibTeX XMLCite \textit{Y. N. Skiba}, Mathematical problems of the dynamics of incompressible fluid on a rotating sphere. Cham: Springer (2017; Zbl 1391.76003) Full Text: DOI
Skiba, Yuri N. Nonlinear and linear instability of the Rossby-Haurwitz wave. (English) Zbl 1288.35400 Int. J. Math. Game Theory Algebra 20(2011), No. 4, 341-368 (2013). MSC: 35Q35 76B65 35B35 35R25 PDFBibTeX XMLCite \textit{Y. N. Skiba}, Int. J. Math. Game Theory Algebra 20, No. 4, 341--368 (2013; Zbl 1288.35400)
Skiba, Yuri N.; Pérez-García, Ismael Numerical spectral method for normal-mode stability study of ideal flows on a rotating sphere. (English) Zbl 1294.76149 Int. J. Appl. Math. 22, No. 5, 725-758 (2009). MSC: 76E20 76E09 76E05 76B65 76B47 PDFBibTeX XMLCite \textit{Y. N. Skiba} and \textit{I. Pérez-García}, Int. J. Appl. Math. 22, No. 5, 725--758 (2009; Zbl 1294.76149)
Skiba, Yuri N. Linear instability of ideal flows on a sphere. (English) Zbl 1154.76342 Math. Methods Appl. Sci. 32, No. 3, 284-306 (2009). MSC: 76E09 76E05 76E20 76B47 76B65 PDFBibTeX XMLCite \textit{Y. N. Skiba}, Math. Methods Appl. Sci. 32, No. 3, 284--306 (2009; Zbl 1154.76342) Full Text: DOI
Skiba, Yuri N.; Pérez-García, Ismael On the structure and growth rate of unstable modes to the Rossby-Haurwitz wave. (English) Zbl 1141.76391 Numer. Methods Partial Differ. Equations 21, No. 2, 368-386 (2005). MSC: 76E20 65M70 76B60 76B65 76U05 86A10 PDFBibTeX XMLCite \textit{Y. N. Skiba} and \textit{I. Pérez-García}, Numer. Methods Partial Differ. Equations 21, No. 2, 368--386 (2005; Zbl 1141.76391) Full Text: DOI
Skiba, Yu. N. Lyapunov instability of the Rossby-Haurwitz waves and dipole modons. (English) Zbl 0819.76030 Sov. J. Numer. Anal. Math. Model. 6, No. 6, 515-535 (1991). MSC: 76E20 76B65 86A10 PDFBibTeX XMLCite \textit{Yu. N. Skiba}, Sov. J. Numer. Anal. Math. Model. 6, No. 6, 515--535 (1991; Zbl 0819.76030)