Udalov, Alexander A.; Uleysky, Michael Yu.; Budyansky, Maxim V. Analysis of stationary points and bifurcations of a dynamically consistent model of a two-dimensional meandering jet. (English) Zbl 1523.76114 Russ. J. Nonlinear Dyn. 19, No. 1, 49-58 (2023). MSC: 76U60 76U65 76E20 37N10 PDFBibTeX XMLCite \textit{A. A. Udalov} et al., Russ. J. Nonlinear Dyn. 19, No. 1, 49--58 (2023; Zbl 1523.76114) Full Text: DOI MNR
Himonas, A. Alexandrou; Yan, Fangchi The Majda-Biello system on the half-line. (English) Zbl 1523.35246 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 233, Article ID 113293, 50 p. (2023). Reviewer: Igor Leite Freire (São Carlos) MSC: 35Q35 35Q53 35G31 35G16 37K10 35A01 35A02 35B65 76U65 86A10 PDFBibTeX XMLCite \textit{A. A. Himonas} and \textit{F. Yan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 233, Article ID 113293, 50 p. (2023; Zbl 1523.35246) Full Text: DOI arXiv
Benn, J. Conjugate points in \(\mathcal{D}_\mu^s(S^2)\). (English) Zbl 1491.35327 J. Geom. Phys. 170, Article ID 104369, 14 p. (2021). MSC: 35Q31 76U65 76M60 86A10 37C55 PDFBibTeX XMLCite \textit{J. Benn}, J. Geom. Phys. 170, Article ID 104369, 14 p. (2021; Zbl 1491.35327) Full Text: DOI
Zhao, Bao Jun; Wang, Ru Yun; Sun, Wen Jin; Yang, Hong Wei Combined ZK-mzk equation for Rossby solitary waves with complete Coriolis force and its conservation laws as well as exact solutions. (English) Zbl 1445.35280 Adv. Difference Equ. 2018, Paper No. 42, 16 p. (2018). MSC: 35Q51 35C08 37K40 37K45 PDFBibTeX XMLCite \textit{B. J. Zhao} et al., Adv. Difference Equ. 2018, Paper No. 42, 16 p. (2018; Zbl 1445.35280) Full Text: DOI
Yang, Hong Wei; Chen, Xin; Guo, Min; Chen, Yao Deng A new ZK-BO equation for three-dimensional algebraic Rossby solitary waves and its solution as well as fission property. (English) Zbl 1390.76044 Nonlinear Dyn. 91, No. 3, 2019-2032 (2018). MSC: 76B25 35C08 37K10 PDFBibTeX XMLCite \textit{H. W. Yang} et al., Nonlinear Dyn. 91, No. 3, 2019--2032 (2018; Zbl 1390.76044) Full Text: DOI
Chen, Xin; Yang, Hongwei; Guo, Min; Yin, Baoshu (2 + 1)-dimensional coupled model for envelope Rossby solitary waves and its solutions as well as chirp effect. (English) Zbl 1426.35200 Math. Probl. Eng. 2017, Article ID 1378740, 12 p. (2017). MSC: 35Q53 37K10 35Q51 76U65 PDFBibTeX XMLCite \textit{X. Chen} et al., Math. Probl. Eng. 2017, Article ID 1378740, 12 p. (2017; Zbl 1426.35200) Full Text: DOI
Zhao, Bao-Jun; Wang, Ru-Yun; Fang, Qing; Sun, Wen-Jin; Zhan, Tian-Ming Rossby solitary waves excited by the unstable topography in weak shear flow. (English) Zbl 1391.76083 Nonlinear Dyn. 90, No. 2, 889-897 (2017). MSC: 76B25 35C08 37K10 35Q53 PDFBibTeX XMLCite \textit{B.-J. Zhao} et al., Nonlinear Dyn. 90, No. 2, 889--897 (2017; Zbl 1391.76083) Full Text: DOI
Vodová-Jahnová, Jiřina On symmetries and conservation laws of the Majda-Biello system. (English) Zbl 1326.35016 Nonlinear Anal., Real World Appl. 22, 148-154 (2015). MSC: 35B06 35Q86 37K05 PDFBibTeX XMLCite \textit{J. Vodová-Jahnová}, Nonlinear Anal., Real World Appl. 22, 148--154 (2015; Zbl 1326.35016) Full Text: DOI arXiv
Yang, Hongwei; Jin, Shanshan; Yin, Baoshu Benjamin-Ono-Burgers-MKdV equation for algebraic Rossby solitary waves in stratified fluids and conservation laws. (English) Zbl 1470.76024 Abstr. Appl. Anal. 2014, Article ID 175841, 5 p. (2014). MSC: 76B25 35Q53 76U65 37K10 PDFBibTeX XMLCite \textit{H. Yang} et al., Abstr. Appl. Anal. 2014, Article ID 175841, 5 p. (2014; Zbl 1470.76024) Full Text: DOI
Guo, Boling; Huang, Daiwen Infinite-dimensional dynamical systems in atmospheric and oceanic science. (English) Zbl 1303.86002 Hackensack, NJ: World Scientific; Hangzhou: Zhejiang Science and Technology Publishing House (ISBN 978-981-4590-37-2/hbk; 978-7-5341-5935-0/hbk; 978-981-4590-39-6/ebook). x, 318 p. (2014). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 86-02 86A05 37N10 00A06 PDFBibTeX XMLCite \textit{B. Guo} and \textit{D. Huang}, Infinite-dimensional dynamical systems in atmospheric and oceanic science. Hackensack, NJ: World Scientific; Hangzhou: Zhejiang Science and Technology Publishing House (2014; Zbl 1303.86002) Full Text: DOI Link
Henry, David; Ivanov, Rossen One-dimensional weakly nonlinear model equations for Rossby waves. (English) Zbl 1292.35230 Discrete Contin. Dyn. Syst. 34, No. 8, 3025-3034 (2014). MSC: 35Q35 35Q51 35Q53 37K10 PDFBibTeX XMLCite \textit{D. Henry} and \textit{R. Ivanov}, Discrete Contin. Dyn. Syst. 34, No. 8, 3025--3034 (2014; Zbl 1292.35230) Full Text: DOI arXiv
Olbers, Dirk; Willebrand, Jürgen; Eden, Carsten Ocean dynamics. (English) Zbl 1296.86001 Berlin: Springer (ISBN 978-3-642-23449-1/hbk; 978-3-642-23450-7/ebook). xxiii, 704 p. (2012). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 86-01 86A05 76-02 76Fxx 76B15 35Q35 37N15 PDFBibTeX XMLCite \textit{D. Olbers} et al., Ocean dynamics. Berlin: Springer (2012; Zbl 1296.86001) Full Text: DOI
Tang, Wenbo; Taylor, Jesse E.; Mahalov, Alex Lagrangian dynamics in stochastic inertia-gravity waves. (English) Zbl 1308.76059 Phys. Fluids 22, No. 12, Paper No. 126601, 12 p. (2010). MSC: 76B55 76B65 60H30 86A05 37N10 PDFBibTeX XMLCite \textit{W. Tang} et al., Phys. Fluids 22, No. 12, Paper No. 126601, 12 p. (2010; Zbl 1308.76059) Full Text: DOI Link
Reznik, G. M. Dynamics of localized vortices on the beta plane. (English) Zbl 1204.76014 Izv., Atmos. Ocean. Phys. 46, No. 6, 784-797 (2010). MSC: 76F06 76D10 86A05 37N10 PDFBibTeX XMLCite \textit{G. M. Reznik}, Izv., Atmos. Ocean. Phys. 46, No. 6, 784--797 (2010; Zbl 1204.76014) Full Text: DOI
Li, Yi Lagrangian evolution of velocity increments in rotating turbulence: the effects of rotation on non-Gaussian statistics. (English) Zbl 1211.37095 Physica D 239, No. 20-22, 1948-1957 (2010). Reviewer: Cesare Tronci (Lausanne) MSC: 37N10 76F55 76U05 76F65 76B65 PDFBibTeX XMLCite \textit{Y. Li}, Physica D 239, No. 20--22, 1948--1957 (2010; Zbl 1211.37095) Full Text: DOI Link
Gershgorin, Boris; Majda, Andrew J. A test model for fluctuation-dissipation theorems with time-periodic statistics. (English) Zbl 1200.37078 Physica D 239, No. 17, 1741-1757 (2010). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37N10 86A10 76B65 PDFBibTeX XMLCite \textit{B. Gershgorin} and \textit{A. J. Majda}, Physica D 239, No. 17, 1741--1757 (2010; Zbl 1200.37078) Full Text: DOI
Budyansky, M. V.; Uleysky, M. Yu.; Prants, S. V. Cross-frontal chaotic transport in oceanic jet currents. (English) Zbl 1183.37054 Skiadas, Christos H. (ed.) et al., Topics on chaotic systems. Selected papers from CHAOS 2008 international conference on chaotic modeling, simulation and applications, Chania, Crete, Greece, 3–6 June 2008. Hackensack, NJ: World Scientific (ISBN 978-981-4271-33-2/hbk). 58-69 (2009). MSC: 37D45 76B65 86A05 76F25 PDFBibTeX XMLCite \textit{M. V. Budyansky} et al., in: Topics on chaotic systems. Selected papers from CHAOS 2008 international conference on chaotic modeling, simulation and applications, Chania, Crete, Greece, 3--6 June 2008. Hackensack, NJ: World Scientific. 58--69 (2009; Zbl 1183.37054)
Balk, Alexander M.; Yoshikawa, Toshio The Rossby wave extra invariant in the physical space. (English) Zbl 1160.37392 Physica D 238, No. 4, 384-394 (2009). MSC: 37K05 37N10 76B65 76B15 PDFBibTeX XMLCite \textit{A. M. Balk} and \textit{T. Yoshikawa}, Physica D 238, No. 4, 384--394 (2009; Zbl 1160.37392) Full Text: DOI
Martinsen-Burrell, Neil; Julien, Keith; Petersen, Mark R.; Weiss, Jeffrey B. Merger and alignment in a reduced model for three-dimensional quasigeostrophic ellipsoidal vortices. (English) Zbl 1185.76478 Phys. Fluids 18, No. 5, Art. 057101, 14p. (2006). MSC: 76B47 37D45 37N10 76B65 76E20 86A05 86A10 PDFBibTeX XMLCite \textit{N. Martinsen-Burrell} et al., Phys. Fluids 18, No. 5, Art. 057101, 14p. (2006; Zbl 1185.76478) Full Text: DOI
Fu, Zuntao; Liu, Shikuo; Liu, Shida Multiple structures of two-dimensional nonlinear Rossby wave. (English) Zbl 1067.35071 Chaos Solitons Fractals 24, No. 1, 383-390 (2005). MSC: 35Q35 76B65 37K20 35C05 PDFBibTeX XMLCite \textit{Z. Fu} et al., Chaos Solitons Fractals 24, No. 1, 383--390 (2005; Zbl 1067.35071) Full Text: DOI
Lee, Youngsuk; Smith, Leslie M. Stability of Rossby waves in the \(\beta\)-plane approximation. (English) Zbl 1097.76560 Physica D 179, No. 1-2, 53-91 (2003). MSC: 76E20 76B65 35Q35 35R25 37N10 76U05 86A05 PDFBibTeX XMLCite \textit{Y. Lee} and \textit{L. M. Smith}, Physica D 179, No. 1--2, 53--91 (2003; Zbl 1097.76560) Full Text: DOI arXiv
Delshams, Amadeu; de la Llave, Rafael KAM theory and a partial justification of Greene’s criterion for nontwist maps. (English) Zbl 1049.37032 SIAM J. Math. Anal. 31, No. 6, 1235-1269 (2000). MSC: 37E45 37J40 70H08 70H12 PDFBibTeX XMLCite \textit{A. Delshams} and \textit{R. de la Llave}, SIAM J. Math. Anal. 31, No. 6, 1235--1269 (2000; Zbl 1049.37032) Full Text: DOI
Sandstede, Björn; Balasuriya, Sanjeeva; Jones, Christopher K. R. T.; Miller, Patrick Melnikov theory for finite-time vector fields. (English) Zbl 0962.37007 Nonlinearity 13, No. 4, 1357-1377 (2000). Reviewer: Peter F.Moson (Budapest) MSC: 37C29 76D09 37C60 34D10 34C45 37G20 76B65 PDFBibTeX XMLCite \textit{B. Sandstede} et al., Nonlinearity 13, No. 4, 1357--1377 (2000; Zbl 0962.37007) Full Text: DOI Link
Tan, Benkui; Boyd, John P. Coupled-mode envelope solitary waves in a pair of cubic Schrödinger equations with cross modulation: Analytical solution and collisions with application to Rossby waves. (English) Zbl 0945.35086 Chaos Solitons Fractals 11, No. 7, 1113-1129 (2000). MSC: 35Q55 37K40 76B25 76B65 78A60 PDFBibTeX XMLCite \textit{B. Tan} and \textit{J. P. Boyd}, Chaos Solitons Fractals 11, No. 7, 1113--1129 (2000; Zbl 0945.35086) Full Text: DOI
Grote, M. J.; Majda, A. J.; Ragazzo, C. Grotta Dynamic mean flow and small-scale interaction through topographic stress. (English) Zbl 0927.76016 J. Nonlinear Sci. 9, No. 1, 89-130 (1999). MSC: 76B60 76B65 76U05 37N10 86A05 86A10 PDFBibTeX XMLCite \textit{M. J. Grote} et al., J. Nonlinear Sci. 9, No. 1, 89--130 (1999; Zbl 0927.76016) Full Text: DOI
Yang, Huijun The central barrier, asymmetry and random phase in chaotic transport and mixing by Rossby waves in a jet. (English) Zbl 0967.76580 Int. J. Bifurcation Chaos Appl. Sci. Eng. 8, No. 6, 1131-1152 (1998). MSC: 76M35 76B65 37N10 PDFBibTeX XMLCite \textit{H. Yang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 8, No. 6, 1131--1152 (1998; Zbl 0967.76580) Full Text: DOI
Malhotra, N.; Wiggins, S. Geometric structures, lobe dynamics, and Lagrangian transport in flows with aperiodic time-dependence, with applications to Rossby wave flow. (English) Zbl 0993.37034 J. Nonlinear Sci. 8, No. 4, 401-456 (1998). Reviewer: Yuri E.Gliklikh (Voronezh) MSC: 37N10 76F20 76B65 PDFBibTeX XMLCite \textit{N. Malhotra} and \textit{S. Wiggins}, J. Nonlinear Sci. 8, No. 4, 401--456 (1998; Zbl 0993.37034) Full Text: DOI
Piterbarg, L. I. Hamiltonian formalism for Rossby waves. (English) Zbl 0913.76019 Zakharov, V. E. (ed.), Nonlinear waves and weak turbulence. Transl. from the Russian. Providence, RI: AMS, American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 182 (36), 131-166 (1998). MSC: 76B65 37J99 35Q35 PDFBibTeX XMLCite \textit{L. I. Piterbarg}, Transl., Ser. 2, Am. Math. Soc. 182, 131--166 (1998; Zbl 0913.76019)
Yang, Huijun Transport, mixing and chaos in quasi-periodic large-scale, quasi-geostrophic flows: A globally geometric and analytic study. (English) Zbl 0913.76097 Nonlinear World 4, No. 3, 323-361 (1997). MSC: 76U05 76B60 86A05 86A10 37D45 PDFBibTeX XMLCite \textit{H. Yang}, Nonlinear World 4, No. 3, 323--361 (1997; Zbl 0913.76097)
Ngan, Keith; Shepherd, Theodore G. Chaotic mixing and transport in Rossby-wave critical layers. (English) Zbl 0907.76015 J. Fluid Mech. 334, 315-351 (1997). Reviewer: G.Zimmermann (Mainz) MSC: 76B65 37D45 86A05 86A10 PDFBibTeX XMLCite \textit{K. Ngan} and \textit{T. G. Shepherd}, J. Fluid Mech. 334, 315--351 (1997; Zbl 0907.76015) Full Text: DOI
Allen, J. S.; Holm, Darryl D. Extended-geostrophic Hamiltonian models for rotating shallow water motion. (English) Zbl 0899.76080 Physica D 98, No. 2-4, 229-248 (1996). MSC: 76B15 76U05 37N99 86A05 PDFBibTeX XMLCite \textit{J. S. Allen} and \textit{D. D. Holm}, Physica D 98, No. 2--4, 229--248 (1996; Zbl 0899.76080) Full Text: DOI
Del-Castillo-Negrete, Diego; Morrison, P. J. Chaotic transport by Rossby waves in shear flow. (English) Zbl 0781.76017 Phys. Fluids, A 5, No. 4, 948-965 (1993). Reviewer: G.Zimmermann (Mainz) MSC: 76B65 37D45 76U05 86A05 86A10 PDFBibTeX XMLCite \textit{D. Del-Castillo-Negrete} and \textit{P. J. Morrison}, Phys. Fluids, A 5, No. 4, 948--965 (1993; Zbl 0781.76017) Full Text: DOI Link
Carnevale, George F. (ed.); Pierrehumbert, Raymond T. (ed.) Nonlinear phenomena in atmospheric and oceanic sciences. Proceedings of a workshop, held during 1989-90 in Minneapolis, MN (USA). (English) Zbl 0748.76009 The IMA Volumes in Mathematics and its Applications. 40. New York: Springer-Verlag. 259 p. (1992). Reviewer: Th.Sonar (Stuttgart) MSC: 76-06 76Bxx 76Fxx 37N99 86A05 86A10 PDFBibTeX XMLCite \textit{G. F. Carnevale} (ed.) and \textit{R. T. Pierrehumbert} (ed.), Nonlinear phenomena in atmospheric and oceanic sciences. Proceedings of a workshop, held during 1989-90 in Minneapolis, MN (USA). New York: Springer-Verlag (1992; Zbl 0748.76009)
Piterbarg, L. I. Canonical variables for Rossby waves in the presence of closed potential vortex level lines. (English. Russian original) Zbl 0785.76102 Sov. Phys., Dokl. 37, No. 5, 233-235 (1992); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 324, No. 2, 316-320 (1992). MSC: 76X05 76B65 37J99 PDFBibTeX XMLCite \textit{L. I. Piterbarg}, Sov. Phys., Dokl. 37, No. 5, 1 (1992; Zbl 0785.76102); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 324, No. 2, 316--320 (1992)
Yang, Huijun Wave packets and their bifurcations in geophysical fluid dynamics. (English) Zbl 0744.76010 Applied Mathematical Sciences. 85. New York etc.: Springer-Verlag. vii, 247 p. (1991). MSC: 76-01 76Bxx 37G99 76B15 86A10 PDFBibTeX XMLCite \textit{H. Yang}, Wave packets and their bifurcations in geophysical fluid dynamics. New York etc.: Springer-Verlag (1991; Zbl 0744.76010)
Zakharov, V. E.; Monin, A. S.; Piterbarg, L. I. Hamiltonian description of baroclinic Rossby waves. (English. Russian original) Zbl 0642.76030 Sov. Phys., Dokl. 32, No. 8, 626-627 (1987); translation from Dokl. Akad. Nauk SSSR 295, 1061-1064 (1987). MSC: 76B65 70H15 37J35 37K10 PDFBibTeX XMLCite \textit{V. E. Zakharov} et al., Sov. Phys., Dokl. 32, No. 8, 626--627 (1987; Zbl 0642.76030); translation from Dokl. Akad. Nauk SSSR 295, 1061--1064 (1987)
Monin, A. S.; Piterbarg, L. I. A kinetic equation for Rossby waves. (English. Russian original) Zbl 0642.76029 Sov. Phys., Dokl. 32, No. 8, 622-624 (1987); translation from Dokl. Akad. Nauk SSSR 295, 816-820 (1987). MSC: 76B65 70H15 37J35 37K10 PDFBibTeX XMLCite \textit{A. S. Monin} and \textit{L. I. Piterbarg}, Sov. Phys., Dokl. 32, No. 8, 622--624 (1987; Zbl 0642.76029); translation from Dokl. Akad. Nauk SSSR 295, 816--820 (1987)