Dai, Guowei; Gao, Siyu; Ma, Ruyun; Zhang, Yong Stability properties of nontrivial periodic water waves for fixed-depth rotational equatorial flows. (English) Zbl 07811280 Anal. Math. Phys. 14, No. 1, Paper No. 6, 41 p. (2024). MSC: 35Q86 35Q35 86A05 76B15 76U60 76E07 76E20 35B32 35B35 35C07 PDFBibTeX XMLCite \textit{G. Dai} et al., Anal. Math. Phys. 14, No. 1, Paper No. 6, 41 p. (2024; Zbl 07811280) Full Text: DOI
Prugger, Artur; Rademacher, Jens D. M.; Yang, Jichen Rotating shallow water equations with bottom drag: bifurcations and growth due to kinetic energy backscatter. (English) Zbl 1522.35054 SIAM J. Appl. Dyn. Syst. 22, No. 3, 2490-2526 (2023). MSC: 35B32 35B35 35C07 35G50 35K91 35Q35 37N10 76D33 86A05 PDFBibTeX XMLCite \textit{A. Prugger} et al., SIAM J. Appl. Dyn. Syst. 22, No. 3, 2490--2526 (2023; Zbl 1522.35054) Full Text: DOI arXiv
Nualart, Marc On zonal steady solutions to the 2D Euler equations on the rotating unit sphere. (English) Zbl 1522.35393 Nonlinearity 36, No. 9, 4981-5006 (2023). MSC: 35Q31 76E20 76U65 86A10 35C09 35B32 35B65 PDFBibTeX XMLCite \textit{M. Nualart}, Nonlinearity 36, No. 9, 4981--5006 (2023; Zbl 1522.35393) Full Text: DOI arXiv
Chekroun, Mickaël D.; Dijkstra, Henk; Şengül, Taylan; Wang, Shouhong Transitions of zonal flows in a two-layer quasi-geostrophic ocean model. (English) Zbl 1519.86001 Nonlinear Dyn. 109, No. 3, 1887-1904 (2022). MSC: 86A05 76U60 76E20 35B32 37L10 PDFBibTeX XMLCite \textit{M. D. Chekroun} et al., Nonlinear Dyn. 109, No. 3, 1887--1904 (2022; Zbl 1519.86001) Full Text: DOI arXiv
Li, Liang; Fan, Yanlong; Han, Daozhi; Wang, Quan Dynamical transition and bifurcation of hydromagnetic convection in a rotating fluid layer. (English) Zbl 1506.35167 Commun. Nonlinear Sci. Numer. Simul. 112, Article ID 106531, 26 p. (2022). MSC: 35Q35 76W05 76U60 76E06 76R10 65N25 35B09 35B32 35B35 35K40 35R01 80A19 86A05 86A10 86A25 85A30 PDFBibTeX XMLCite \textit{L. Li} et al., Commun. Nonlinear Sci. Numer. Simul. 112, Article ID 106531, 26 p. (2022; Zbl 1506.35167) Full Text: DOI arXiv
Bhavna; Kumar, Atul; Pandey, Ashish Kumar High-frequency instabilities of the Ostrovsky equation. (English) Zbl 1511.35270 Water Waves 4, No. 1, 91-108 (2022). MSC: 35Q35 35C07 35C08 35B10 35B32 35P15 76B03 76U60 76E07 76E20 86A05 35R30 PDFBibTeX XMLCite \textit{Bhavna} et al., Water Waves 4, No. 1, 91--108 (2022; Zbl 1511.35270) Full Text: DOI arXiv
Deliceoglu, Ali; Bozkurt, Deniz Structural bifurcation of divergence-free vector fields near non-simple degenerate points with symmetry. (English) Zbl 1464.35217 J. Appl. Anal. Comput. 9, No. 2, 718-738 (2019). MSC: 35Q35 86A10 76D05 35B32 35B35 35B36 35B38 PDFBibTeX XMLCite \textit{A. Deliceoglu} and \textit{D. Bozkurt}, J. Appl. Anal. Comput. 9, No. 2, 718--738 (2019; Zbl 1464.35217) Full Text: DOI
Bensid, Sabri; Díaz, Jesús Ildefonso On the exact number of monotone solutions of a simplified Budyko climate model and their different stability. (English) Zbl 1411.35032 Discrete Contin. Dyn. Syst., Ser. B 24, No. 3, 1033-1047 (2019). MSC: 35B35 35J61 35P30 35K58 86A10 35Q86 35B32 PDFBibTeX XMLCite \textit{S. Bensid} and \textit{J. I. Díaz}, Discrete Contin. Dyn. Syst., Ser. B 24, No. 3, 1033--1047 (2019; Zbl 1411.35032) Full Text: DOI arXiv
Chen, Zhi-Min Analytic semigroup approach to generalized Navier-Stokes flows in Besov spaces. (English) Zbl 1386.35017 J. Math. Fluid Mech. 19, No. 4, 709-724 (2017). MSC: 35B32 35B35 35Q35 86A10 PDFBibTeX XMLCite \textit{Z.-M. Chen}, J. Math. Fluid Mech. 19, No. 4, 709--724 (2017; Zbl 1386.35017) Full Text: DOI
Lucarini, Valerio; Bódai, Tamás Edge states in the climate system: exploring global instabilities and critical transitions. (English) Zbl 1369.86004 Nonlinearity 30, No. 7, R32-R66 (2017). MSC: 86A10 76U05 76E20 37N10 37D45 37G35 34C28 37C70 PDFBibTeX XMLCite \textit{V. Lucarini} and \textit{T. Bódai}, Nonlinearity 30, No. 7, R32--R66 (2017; Zbl 1369.86004) Full Text: DOI arXiv
Chen, Zhi-Min Bifurcating steady-state solutions of the dissipative quasi-geostrophic equation in Lagrangian formulation. (English) Zbl 1353.35231 Nonlinearity 29, No. 10, 3132-3147 (2016). MSC: 35Q35 35B32 35B35 37K50 37K45 26A33 86A05 PDFBibTeX XMLCite \textit{Z.-M. Chen}, Nonlinearity 29, No. 10, 3132--3147 (2016; Zbl 1353.35231) Full Text: DOI Link
Dijkstra, Henk; Sengul, Taylan; Shen, Jie; Wang, Shouhong Dynamic transitions of quasi-geostrophic channel flow. (English) Zbl 1329.35232 SIAM J. Appl. Math. 75, No. 5, 2361-2378 (2015). Reviewer: Qin Meng Zhao (Beijing) MSC: 35Q30 76E20 35B35 37G15 86A10 PDFBibTeX XMLCite \textit{H. Dijkstra} et al., SIAM J. Appl. Math. 75, No. 5, 2361--2378 (2015; Zbl 1329.35232) Full Text: DOI arXiv
Pampell, A.; Aceves, A. B.; Srinivasan, G. Predicting dynamic trends of the atlantic meridional overturning circulation for transient and stochastic forcing effects. (English) Zbl 1311.34104 SIAM/ASA J. Uncertain. Quantif. 2, 585-606 (2014). MSC: 34C60 86A05 34C23 34D15 34D20 34E13 37G10 34F05 37M05 37M10 37N10 PDFBibTeX XMLCite \textit{A. Pampell} et al., SIAM/ASA J. Uncertain. Quantif. 2, 585--606 (2014; Zbl 1311.34104) Full Text: DOI
Park, Jungho Thermosolutal convection at infinite Prandtl number with or without rotation: bifurcation and stability in physical space. (English) Zbl 1317.76072 J. Math. Phys. 52, No. 5, 053701, 31 p. (2011). MSC: 76R05 76E06 76E20 86A60 35B32 60J60 35Q35 PDFBibTeX XMLCite \textit{J. Park}, J. Math. Phys. 52, No. 5, 053701, 31 p. (2011; Zbl 1317.76072) Full Text: DOI Link
Park, Jungho Bifurcation of infinite Prandtl number rotating convection. (English) Zbl 1194.35334 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 7, 2010-2021 (2010). MSC: 35Q35 76R10 76E07 86A05 37N10 35B32 PDFBibTeX XMLCite \textit{J. Park}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 7, 2010--2021 (2010; Zbl 1194.35334) Full Text: DOI
Chertovskih, R.; Gama, S. M. A.; Podvigina, O.; Zheligovsky, V. Dependence of magnetic field generation by thermal convection on the rotation rate: a case study. (English) Zbl 1248.76152 Physica D 239, No. 13, 1188-1209 (2010). MSC: 76W05 76E06 76E25 76U05 85A30 86A25 PDFBibTeX XMLCite \textit{R. Chertovskih} et al., Physica D 239, No. 13, 1188--1209 (2010; Zbl 1248.76152) Full Text: DOI arXiv
Ghil, Michael; Chekroun, Mickaël D.; Simonnet, Eric Climate dynamics and fluid mechanics: Natural variability and related uncertainties. (English) Zbl 1143.76440 Physica D 237, No. 14-17, 2111-2126 (2008). MSC: 76E20 86A05 76-02 37N10 PDFBibTeX XMLCite \textit{M. Ghil} et al., Physica D 237, No. 14--17, 2111--2126 (2008; Zbl 1143.76440) Full Text: DOI arXiv
Hsia, Chung-Hsiung; Ma, Tian; Wang, Shouhong Bifurcation and stability of two-dimensional double-diffusive convection. (English) Zbl 1139.37048 Commun. Pure Appl. Anal. 7, No. 1, 23-48 (2008). MSC: 37N10 37G35 76R50 86A05 37C75 PDFBibTeX XMLCite \textit{C.-H. Hsia} et al., Commun. Pure Appl. Anal. 7, No. 1, 23--48 (2008; Zbl 1139.37048) Full Text: DOI arXiv
Ma, Tian; Wang, Shouhong Rayleigh-Bénard convection: dynamics and structure in the physical space. (English) Zbl 1133.35426 Commun. Math. Sci. 5, No. 3, 553-574 (2007). MSC: 35Q35 37G35 76E06 86A10 PDFBibTeX XMLCite \textit{T. Ma} and \textit{S. Wang}, Commun. Math. Sci. 5, No. 3, 553--574 (2007; Zbl 1133.35426) Full Text: DOI arXiv
Chen, Zhi-Min; Ghil, Michael; Simonnet, Eric; Wang, Shouhong Hopf bifurcation in quasi-geostrophic channel flow. (English) Zbl 1126.76327 SIAM J. Appl. Math. 64, No. 1, 343-368 (2003). MSC: 76E20 35B32 86A05 35Q30 37N10 76B60 86A10 PDFBibTeX XMLCite \textit{Z.-M. Chen} et al., SIAM J. Appl. Math. 64, No. 1, 343--368 (2003; Zbl 1126.76327) Full Text: DOI
Dijkstra, Henk A.; Molemaker, M. Jeroen Symmetry breaking and overturning oscillations in thermohaline-driven flows. (English) Zbl 0898.76035 J. Fluid Mech. 331, 169-198 (1997). Reviewer: Iuliana Oprea (Bucureşti) MSC: 76E20 76E15 80A20 86A05 PDFBibTeX XMLCite \textit{H. A. Dijkstra} and \textit{M. J. Molemaker}, J. Fluid Mech. 331, 169--198 (1997; Zbl 0898.76035) Full Text: DOI
Vittori, G.; Blondeaux, P.; Seminara, G. Waves of finite amplitude trapped by oscillating gates. (English) Zbl 0876.76011 Proc. R. Soc. Lond., Ser. A 452, No. 1947, 791-811 (1996). Reviewer: B.V.Loginov (Ul’yanovsk) MSC: 76B15 76E30 86A05 PDFBibTeX XMLCite \textit{G. Vittori} et al., Proc. R. Soc. Lond., Ser. A 452, No. 1947, 791--811 (1996; Zbl 0876.76011) Full Text: DOI
Shil’nikov, A.; Nicolis, G.; Nicolis, C. Bifurcation and predictability analysis of a low-order atmospheric circulation model. (English) Zbl 0922.76197 Int. J. Bifurcation Chaos Appl. Sci. Eng. 5, No. 6, 1701-1711 (1995). MSC: 76E20 86A10 37C70 PDFBibTeX XMLCite \textit{A. Shil'nikov} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 5, No. 6, 1701--1711 (1995; Zbl 0922.76197) Full Text: DOI
Germain, Paul (ed.); Piau, Monique (ed.); Caillerie, Denis (ed.) Theoretical and applied mechanics. Proceedings of the XVIIth international congress of theoretical and applied mechanics, held in Grenoble, France, 21-27 August, 1988. (English) Zbl 0686.73001 International Union of Theoretical and Applied Mechanics (IUTAM). Amsterdam etc.: North-Holland. xxxix, 454 p. $ 144.75; Dfl 275.00 (1989). Reviewer: M.N.L.Narasimhan MSC: 74-06 76-06 86-06 70K50 76Exx 74R99 37G99 35B32 37D45 76T99 74Cxx 74L10 76U05 76F99 74L05 74H55 PDFBibTeX XMLCite \textit{P. Germain} (ed.) et al., Theoretical and applied mechanics. Proceedings of the XVIIth international congress of theoretical and applied mechanics, held in Grenoble, France, 21-27 August, 1988. Amsterdam etc.: North-Holland (1989; Zbl 0686.73001)
de Swart, H. E. Low-order spectral models of the atmospheric circulation: A survey. (English) Zbl 0648.76033 Acta Appl. Math. 11, No. 1, 49-96 (1988). Reviewer: B.Fisher MSC: 76E20 86A10 PDFBibTeX XMLCite \textit{H. E. de Swart}, Acta Appl. Math. 11, No. 1, 49--96 (1988; Zbl 0648.76033) Full Text: DOI
Ghil, M.; Childress, S. Topics in geophysical fluid dynamics: atmospheric dynamics, dynamo theory, and climate dynamics. (English) Zbl 0643.76001 Applied Mathematical Sciences, 60. New York etc.: Springer-Verlag. XV, 485 p.; DM 88.00 (1987). Reviewer: B.Fisher MSC: 76-02 76B60 86-02 76E20 76W05 PDFBibTeX XML
Curry, James H. A generalized Lorenz system. (English) Zbl 0387.76052 Commun. Math. Phys. 60, 193-204 (1978). MSC: 76E20 76R99 35B32 86A10 PDFBibTeX XMLCite \textit{J. H. Curry}, Commun. Math. Phys. 60, 193--204 (1978; Zbl 0387.76052) Full Text: DOI