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 PDF BibTeX XML Cite \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 OpenURL
Skiba, Yuri N. Asymptotic behavior and stability of solutions to barotropic vorticity equation on a sphere. (English) Zbl 1263.76020 Commun. Math. Anal. 14, No. 2, 143-162 (2013). MSC: 76D03 76D17 76E20 PDF BibTeX XML Cite \textit{Y. N. Skiba}, Commun. Math. Anal. 14, No. 2, 143--162 (2013; Zbl 1263.76020) Full Text: Euclid OpenURL
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 PDF BibTeX XML Cite \textit{Y. N. Skiba} and \textit{I. Pérez-García}, Int. J. Appl. Math. 22, No. 5, 725--758 (2009; Zbl 1294.76149) OpenURL
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 PDF BibTeX XML Cite \textit{Y. N. Skiba}, Math. Methods Appl. Sci. 32, No. 3, 284--306 (2009; Zbl 1154.76342) Full Text: DOI OpenURL
Skiba, Yuri N.; Pérez-García, Ismael Testing of a numerical instability study algorithm with the Rossby-Haurwitz waves. (English) Zbl 1220.76032 Int. J. Appl. Math. 19, No. 4, 433-460 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 76E20 65M70 PDF BibTeX XML Cite \textit{Y. N. Skiba} and \textit{I. Pérez-García}, Int. J. Appl. Math. 19, No. 4, 433--460 (2006; Zbl 1220.76032) OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Skiba, Yu. N. Instability of the Rossby-Haurwitz wave in the invariant sets of perturbations. (English) Zbl 1221.76090 J. Math. Anal. Appl. 290, No. 2, 686-701 (2004). MSC: 76E20 76E07 PDF BibTeX XML Cite \textit{Yu. N. Skiba}, J. Math. Anal. Appl. 290, No. 2, 686--701 (2004; Zbl 1221.76090) Full Text: DOI OpenURL
Skiba, Yuri N. On the spectral problem in the linear stability study of flows on a sphere. (English) Zbl 1063.76023 J. Math. Anal. Appl. 270, No. 1, 165-180 (2002). MSC: 76E07 76E20 35P99 PDF BibTeX XML Cite \textit{Y. N. Skiba}, J. Math. Anal. Appl. 270, No. 1, 165--180 (2002; Zbl 1063.76023) Full Text: DOI OpenURL
Skiba, Yuri N.; Strelkov, Andrei Y. Spectral structure of growing normal modes for exact solutions to the barotropic vorticity equation on a sphere. (English) Zbl 1064.76534 Ramos, Eduardo (ed.) et al., Computational fluid dynamics. Proceedings of the 4th UNAM supercomputing conference, Mexico City, Mexico, June 27–30, 2000. Singapore: World Scientific Publishing (ISBN 981-02-4535-1). 129-139 (2001). MSC: 76E20 76E07 76U05 86A05 PDF BibTeX XML Cite \textit{Y. N. Skiba} and \textit{A. Y. Strelkov}, in: Computational fluid dynamics. Proceedings of the 4th UNAM supercomputing conference, Mexico City, Mexico, June 27--30, 2000. Singapore: World Scientific Publishing. 129--139 (2001; Zbl 1064.76534) OpenURL
Skiba, Yuri N.; Strelkov, Andrei Y. Linear instability conditions for steady waves in ideal incompressible fluid on a rotating sphere. (English) Zbl 1072.76546 Bermúdez, Alfredo (ed.) et al., Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10–14, 2000. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics; Rocquencourt: INRIA, Institut National de Recherche en Informatique et en Automatique (ISBN 0-89871-470-2). 369-373 (2000). MSC: 76E20 76B15 76U05 PDF BibTeX XML Cite \textit{Y. N. Skiba} and \textit{A. Y. Strelkov}, in: Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10--14, 2000. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics; Rocquencourt: INRIA, Institut National de Recherche en Informatique et en Automatique. 369--373 (2000; Zbl 1072.76546) OpenURL
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 PDF BibTeX XML Cite \textit{Yu. N. Skiba}, Sov. J. Numer. Anal. Math. Model. 6, No. 6, 515--535 (1991; Zbl 0819.76030) OpenURL