Liu, Hsiao-Fan Periodic Cauchy problem of Heisenberg ferromagnet and its geometric framework. (English) Zbl 1478.82012 J. Fixed Point Theory Appl. 24, No. 1, Paper No. 16, 19 p. (2022). MSC: 82D40 35Q55 53A04 37K10 37K35 PDFBibTeX XMLCite \textit{H.-F. Liu}, J. Fixed Point Theory Appl. 24, No. 1, Paper No. 16, 19 p. (2022; Zbl 1478.82012) Full Text: DOI
Kumar, Sandeep On the Schrödinger map for regular helical polygons in the hyperbolic space. (English) Zbl 1500.37029 Nonlinearity 35, No. 1, 84-109 (2022). MSC: 37D40 53E30 53E40 35Q55 65M06 65M20 PDFBibTeX XMLCite \textit{S. Kumar}, Nonlinearity 35, No. 1, 84--109 (2022; Zbl 1500.37029) Full Text: DOI arXiv
Dai, Jia-Yuan; Lappicy, Phillipo Ginzburg-Landau patterns in circular and spherical geometries: vortices, spirals, and attractors. (English) Zbl 1483.35232 SIAM J. Appl. Dyn. Syst. 20, No. 4, 1959-1984 (2021). Reviewer: Catalin Popa (Iaşi) MSC: 35Q56 37G35 37G40 35B32 35B41 PDFBibTeX XMLCite \textit{J.-Y. Dai} and \textit{P. Lappicy}, SIAM J. Appl. Dyn. Syst. 20, No. 4, 1959--1984 (2021; Zbl 1483.35232) Full Text: DOI arXiv
Boury, S.; Sibgatullin, I.; Ermanyuk, E.; Shmakova, N.; Odier, P.; Joubaud, S.; Maas, L. R. M.; Dauxois, T. Vortex cluster arising from an axisymmetric inertial wave attractor. (English) Zbl 1487.76029 J. Fluid Mech. 926, Paper No. A12, 36 p. (2021). MSC: 76D17 76D33 76D05 76U05 76M22 76-05 37N10 PDFBibTeX XMLCite \textit{S. Boury} et al., J. Fluid Mech. 926, Paper No. A12, 36 p. (2021; Zbl 1487.76029) Full Text: DOI arXiv
Onodera, Eiji; Yamasaki, Haruka A fifth-order dispersive partial differential equation for curve flow on the sphere. (English) Zbl 1477.35267 J. Math. Anal. Appl. 503, No. 1, Article ID 125297, 33 p. (2021). MSC: 35Q82 35Q35 35Q55 35Q56 82D40 76B47 37K10 35K25 35A01 35A02 PDFBibTeX XMLCite \textit{E. Onodera} and \textit{H. Yamasaki}, J. Math. Anal. Appl. 503, No. 1, Article ID 125297, 33 p. (2021; Zbl 1477.35267) Full Text: DOI
Han, Rui; Wang, Shiping; Yao, Xiongliang Dynamics of an air bubble induced by an adjacent oscillating bubble. (English) Zbl 1403.76184 Eng. Anal. Bound. Elem. 62, 65-77 (2016). MSC: 76T10 76M15 45B05 37N10 PDFBibTeX XMLCite \textit{R. Han} et al., Eng. Anal. Bound. Elem. 62, 65--77 (2016; Zbl 1403.76184) Full Text: DOI
O’Neil, Kevin A. Point vortex equilibria related to Bessel polynomials. (English) Zbl 1346.76022 Regul. Chaotic Dyn. 21, No. 3, 249-253 (2016). MSC: 76B47 37F10 34M15 PDFBibTeX XMLCite \textit{K. A. O'Neil}, Regul. Chaotic Dyn. 21, No. 3, 249--253 (2016; Zbl 1346.76022) Full Text: DOI
Myerscough, Keith W.; Frank, Jason Explicit, parallel Poisson integration of point vortices on the sphere. (English) Zbl 1382.76040 J. Comput. Appl. Math. 304, 100-119 (2016). MSC: 76B47 37J35 37N10 76M25 65Y05 PDFBibTeX XMLCite \textit{K. W. Myerscough} and \textit{J. Frank}, J. Comput. Appl. Math. 304, 100--119 (2016; Zbl 1382.76040) Full Text: DOI
O’Neil, Kevin A.; Cox-Steib, Nicholas Generalized Adler-Moser and Loutsenko polynomials for point vortex equilibria. (English) Zbl 1308.76053 Regul. Chaotic Dyn. 19, No. 5, 523-532 (2014). MSC: 76B47 37F10 34M15 PDFBibTeX XMLCite \textit{K. A. O'Neil} and \textit{N. Cox-Steib}, Regul. Chaotic Dyn. 19, No. 5, 523--532 (2014; Zbl 1308.76053) Full Text: DOI
Kozlov, V. V. An extension of the Hamilton-Jacobi method. (English. Russian original) Zbl 1257.58025 Dokl. Math. 85, No. 2, 301-303 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 443, No. 5, 561-563 (2012). Reviewer: Dian K. Palagachev (Bari) MSC: 58J70 37K05 PDFBibTeX XMLCite \textit{V. V. Kozlov}, Dokl. Math. 85, No. 2, 301--303 (2012; Zbl 1257.58025); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 443, No. 5, 561--563 (2012) Full Text: DOI
Newton, Paul K.; Ostrovskyi, Vitalii Energy-momentum stability of icosahedral configurations of point vortices on a sphere. (English) Zbl 1351.37223 J. Nonlinear Sci. 22, No. 4, 499-515 (2012). MSC: 37J25 37N10 70E50 70H14 76B47 PDFBibTeX XMLCite \textit{P. K. Newton} and \textit{V. Ostrovskyi}, J. Nonlinear Sci. 22, No. 4, 499--515 (2012; Zbl 1351.37223) Full Text: DOI
Goldman, Dorian; McCann, Robert J. Chaotic response of the 2D semi-geostrophic and 3D quasi-geostrophic equations to gentle periodic forcing. (English) Zbl 1140.76041 Nonlinearity 21, No. 7, 1455-1470 (2008). MSC: 76U05 37N10 86A05 86A10 PDFBibTeX XMLCite \textit{D. Goldman} and \textit{R. J. McCann}, Nonlinearity 21, No. 7, 1455--1470 (2008; Zbl 1140.76041) Full Text: DOI Link
Sakajo, Takashi Invariant dynamical systems embedded in the \(N\)-vortex problem on a sphere with pole vortices. (English) Zbl 1091.76010 Physica D 217, No. 2, 142-152 (2006). MSC: 76B47 37N10 PDFBibTeX XMLCite \textit{T. Sakajo}, Physica D 217, No. 2, 142--152 (2006; Zbl 1091.76010) Full Text: DOI Link
Sakajo, Takashi High-dimensional heteroclinic and homoclinic connections in odd point-vortex ring on a sphere. (English) Zbl 1092.76011 Nonlinearity 19, No. 1, 75-93 (2006). MSC: 76B47 76E99 37N10 PDFBibTeX XMLCite \textit{T. Sakajo}, Nonlinearity 19, No. 1, 75--93 (2006; Zbl 1092.76011) Full Text: DOI Link
Laurent-Polz, F. Point vortices on the sphere: A case with opposite vorticities. (English) Zbl 0999.76030 Nonlinearity 15, No. 1, 143-171 (2002). MSC: 76B47 37N10 PDFBibTeX XMLCite \textit{F. Laurent-Polz}, Nonlinearity 15, No. 1, 143--171 (2002; Zbl 0999.76030) Full Text: DOI arXiv
Newton, Paul K. The \(N\)-vortex problem. Analytical techniques. (English) Zbl 0981.76002 Applied Mathematical Sciences. 145. New York, NY: Springer. xvii, 415 p. DM 138.99; sFr 119.84; £48.00; $ 59.95 (2001). Reviewer: Adabala Ramachandra Rao (Bangalore) MSC: 76-02 76B47 37N10 PDFBibTeX XMLCite \textit{P. K. Newton}, The \(N\)-vortex problem. Analytical techniques. New York, NY: Springer (2001; Zbl 0981.76002)
Goncharov, Viktor P.; Pavlov, Vadim I. Large-scale vortex structures in shear flows. (English) Zbl 0973.76016 Eur. J. Mech., B, Fluids 19, No. 6, 831-854 (2000). MSC: 76B47 70H05 37N10 PDFBibTeX XMLCite \textit{V. P. Goncharov} and \textit{V. I. Pavlov}, Eur. J. Mech., B, Fluids 19, No. 6, 831--854 (2000; Zbl 0973.76016) Full Text: DOI
Zeytounian, R. Kh. Well-posedness of problems in fluid dynamics (a fluid-dynamical point of view). (English. Russian original) Zbl 0970.76004 Russ. Math. Surv. 54, No. 3, 479-564 (1999); translation from Usp. Mat. Nauk 54, No. 3, 3-92 (1999). Reviewer: Oleg Titow (Berlin) MSC: 76-02 35Q30 37N10 76B03 76D03 35Q35 76F20 PDFBibTeX XMLCite \textit{R. Kh. Zeytounian}, Russ. Math. Surv. 54, No. 3, 479--564 (1999; Zbl 0970.76004); translation from Usp. Mat. Nauk 54, No. 3, 3--92 (1999) Full Text: DOI
Brøns, Morten; Voigt, Lars Køllgaard; Sørensen, Jens Nørkær Streamline topology of steady axisymmetric vortex breakdown in a cylinder with co- and counter-rotating end-covers. (English) Zbl 0964.76022 J. Fluid Mech. 401, 275-292 (1999). Reviewer: Arkadi Berezovski (Tallinn) MSC: 76D17 76U05 37N10 76E07 76M20 PDFBibTeX XMLCite \textit{M. Brøns} et al., J. Fluid Mech. 401, 275--292 (1999; Zbl 0964.76022) Full Text: DOI
Gomes, Diogo Aguiar Integrability/non-integrability in vortices dynamics. (English) Zbl 0996.37024 Zesz. Nauk. Uniw. Jagiell. 1223, Univ. Iagell. Acta Math. 36, 215-217 (1998). MSC: 37C55 76B47 37J45 37J40 37J30 PDFBibTeX XMLCite \textit{D. A. Gomes}, Zesz. Nauk. Uniw. Jagiell., Univ. Iagell. Acta Math. 1223(36), 215--217 (1998; Zbl 0996.37024)
Borisov, A. B.; Kiseliev, V. V. Vortex dipoles on a soliton lattice background: Solution of the boundary-value problem by inverse spectral transform. (English) Zbl 0931.37035 Physica D 111, No. 1-4, 96-128 (1998). MSC: 37K60 37L60 82D55 35Q53 81U40 PDFBibTeX XMLCite \textit{A. B. Borisov} and \textit{V. V. Kiseliev}, Physica D 111, No. 1--4, 96--128 (1998; Zbl 0931.37035) Full Text: DOI
Bagrets, A. A.; Bagrets, D. A. Nonintegrability of two problems in vortex dynamics. (English) Zbl 0933.37025 Chaos 7, No. 3, 368-375 (1997). MSC: 37D45 37J30 70H05 76B47 PDFBibTeX XMLCite \textit{A. A. Bagrets} and \textit{D. A. Bagrets}, Chaos 7, No. 3, 368--375 (1997; Zbl 0933.37025) Full Text: DOI
Bagrets, A. A.; Bagrets, D. A. Nonintegrability of Hamiltonian systems in vortex dynamics. II: The motion of four point vortices on a sphere. (Russian. English summary) Zbl 0935.76008 Regul. Khaoticheskaya Din. 2, No. 2, 58-64 (1997). Reviewer: F.Kaplanski (Tallinn) MSC: 76B47 37N10 PDFBibTeX XMLCite \textit{A. A. Bagrets} and \textit{D. A. Bagrets}, Regul. Khaoticheskaya Din. 2, No. 2, 58--64 (1997; Zbl 0935.76008)
Beerens, S. P.; Ridderinkhof, H.; Zimmerman, J. T. F. An analytical study of chaotic stirring in tidal areas. (English) Zbl 0822.76014 Chaos Solitons Fractals 4, No. 6, 1011-1029 (1994). Reviewer: A.Berezovski (Tallinn) MSC: 76B47 37J99 86A05 37D45 37J40 PDFBibTeX XMLCite \textit{S. P. Beerens} et al., Chaos Solitons Fractals 4, No. 6, 1011--1029 (1994; Zbl 0822.76014) Full Text: DOI
Newton, Paul K. Hannay-Berry phase and the restricted three-vortex problem. (English) Zbl 0899.76096 Physica D 79, No. 2-4, 416-423 (1994). MSC: 76B47 70H05 37N99 PDFBibTeX XMLCite \textit{P. K. Newton}, Physica D 79, No. 2--4, 416--423 (1994; Zbl 0899.76096) Full Text: DOI
Zhao, Xiao-Hua; Kwek, Keng-Huat; Li, Ji-Bin; Huang, Ke-Lei Chaotic and resonant streamlines in the ABC flow. (English) Zbl 0769.76016 SIAM J. Appl. Math. 53, No. 1, 71-77 (1993). MSC: 76B47 37D45 37G99 76F20 34C20 PDFBibTeX XMLCite \textit{X.-H. Zhao} et al., SIAM J. Appl. Math. 53, No. 1, 71--77 (1993; Zbl 0769.76016) Full Text: DOI
Yuan, Xiaofeng; Guo, Ruihai Coexistence of the chaos and the periodic solutions in planar fluid flows. (English) Zbl 0748.76032 Appl. Math. Mech., Engl. Ed. 12, No. 12, 1135-1142 (1991). MSC: 76B47 37G99 37D45 PDFBibTeX XMLCite \textit{X. Yuan} and \textit{R. Guo}, Appl. Math. Mech., Engl. Ed. 12, No. 12, 1135--1142 (1991; Zbl 0748.76032) Full Text: DOI
Pullin, D. I.; Saffman, P. G. Long-time symplectic integration: The example of four-vortex motion. (English) Zbl 0726.65087 Proc. R. Soc. Lond., Ser. A 432, No. 1886, 481-494 (1991). Reviewer: F.Ling (Hoboken) MSC: 65L06 76B47 37J99 PDFBibTeX XMLCite \textit{D. I. Pullin} and \textit{P. G. Saffman}, Proc. R. Soc. Lond., Ser. A 432, No. 1886, 481--494 (1991; Zbl 0726.65087) Full Text: DOI
Koiller, Jair; Carvalho, Sonia P. Non-integrability of the 4-vortex system: Analytical proof. (English) Zbl 0825.58013 Commun. Math. Phys. 120, No. 4, 643-652 (1989). MSC: 37J99 70H05 76B47 PDFBibTeX XMLCite \textit{J. Koiller} and \textit{S. P. Carvalho}, Commun. Math. Phys. 120, No. 4, 643--652 (1989; Zbl 0825.58013) Full Text: DOI
Bertozzi, Andrea Louis Heteroclinic orbits and chaotic dynamics in planar fluid flows. (English) Zbl 0656.76025 SIAM J. Math. Anal. 19, No. 6, 1271-1294 (1988). MSC: 76B47 37J99 70K99 37D45 54H20 PDFBibTeX XMLCite \textit{A. L. Bertozzi}, SIAM J. Math. Anal. 19, No. 6, 1271--1294 (1988; Zbl 0656.76025) Full Text: DOI