de la Hoz, Francisco; Kumar, Sandeep; Vega, Luis On the evolution of the vortex filament equation for regular \(M\)-polygons with nonzero torsion. (English) Zbl 1434.65201 SIAM J. Appl. Math. 80, No. 2, 1034-1056 (2020). MSC: 65M70 28A80 35Q55 65T50 76B47 PDF BibTeX XML Cite \textit{F. de la Hoz} et al., SIAM J. Appl. Math. 80, No. 2, 1034--1056 (2020; Zbl 1434.65201) Full Text: DOI
Eceizabarrena, Daniel Geometric differentiability of Riemann’s non-differentiable function. (English) Zbl 1437.26005 Adv. Math. 366, Article ID 107091, 39 p. (2020). Reviewer: Piotr Sworowski (Bydgoszcz) MSC: 26A27 28A80 PDF BibTeX XML Cite \textit{D. Eceizabarrena}, Adv. Math. 366, Article ID 107091, 39 p. (2020; Zbl 1437.26005) Full Text: DOI
Anco, Stephen C.; Asadi, Esmaeel Hasimoto variables, generalized vortex filament equations, Heisenberg models and Schrödinger maps arising from group-invariant NLS systems. (English) Zbl 1428.35478 J. Geom. Phys. 144, 324-357 (2019). MSC: 35Q55 35Q41 37K10 37K30 PDF BibTeX XML Cite \textit{S. C. Anco} and \textit{E. Asadi}, J. Geom. Phys. 144, 324--357 (2019; Zbl 1428.35478) Full Text: DOI
Talalov, Sergeĭ Vladimirovich The vortex filament dynamics: new viewpoint on the problems of energy and effective mass. (Russian. English summary) Zbl 1438.70018 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 23, No. 1, 37-48 (2019). MSC: 70H45 74K99 76B47 PDF BibTeX XML Cite \textit{S. V. Talalov}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 23, No. 1, 37--48 (2019; Zbl 1438.70018) Full Text: DOI MNR
Aiki, Masashi; Iguchi, Tatsuo Motion of a vortex filament in an external flow. (English) Zbl 1417.35107 Nonlinearity 32, No. 7, 2413-2425 (2019). MSC: 35Q35 76B03 76B47 PDF BibTeX XML Cite \textit{M. Aiki} and \textit{T. Iguchi}, Nonlinearity 32, No. 7, 2413--2425 (2019; Zbl 1417.35107) Full Text: DOI arXiv
Song, Chong; Sun, Jun Skew mean curvature flow. (English) Zbl 1405.53093 Commun. Contemp. Math. 21, No. 1, Article ID 1750090, 29 p. (2019). MSC: 53C44 37K65 53Z05 PDF BibTeX XML Cite \textit{C. Song} and \textit{J. Sun}, Commun. Contemp. Math. 21, No. 1, Article ID 1750090, 29 p. (2019; Zbl 1405.53093) Full Text: DOI arXiv
de la Hoz, Francisco; Vega, Luis On the relationship between the one-corner problem and the \(M\)-corner problem for the vortex filament equation. (English) Zbl 1447.35263 J. Nonlinear Sci. 28, No. 6, 2275-2327 (2018). MSC: 35Q35 35K40 28A80 35Q55 65M70 65T50 76B47 65L06 76M23 PDF BibTeX XML Cite \textit{F. de la Hoz} and \textit{L. Vega}, J. Nonlinear Sci. 28, No. 6, 2275--2327 (2018; Zbl 1447.35263) Full Text: DOI
Demontis, Francesco; Ortenzi, Giovanni; Sommacal, Matteo Heisenberg ferromagnetism as an evolution of a spherical indicatrix: localized solutions and elliptic dispersionless reduction. (English) Zbl 1392.35283 Electron. J. Differ. Equ. 2018, Paper No. 106, 34 p. (2018). MSC: 35Q55 35C08 35J62 35Q35 35Q51 53C44 35Q82 76D05 37K15 82D40 37K10 82D80 PDF BibTeX XML Cite \textit{F. Demontis} et al., Electron. J. Differ. Equ. 2018, Paper No. 106, 34 p. (2018; Zbl 1392.35283) Full Text: Link
Ivey, T.; Lafortune, S. Stability of closed solutions to the vortex filament equation hierarchy with application to the Hirota equation. (English) Zbl 1390.35329 Nonlinearity 31, No. 2, 458-490 (2018). MSC: 35Q55 37K20 37K45 35Q35 PDF BibTeX XML Cite \textit{T. Ivey} and \textit{S. Lafortune}, Nonlinearity 31, No. 2, 458--490 (2018; Zbl 1390.35329) Full Text: DOI
Onodera, Eiji The initial-value problem for a fourth-order dispersive closed curve flow on the 2-sphere. (English) Zbl 1383.35173 Proc. R. Soc. Edinb., Sect. A, Math. 147, No. 6, 1243-1277 (2017). MSC: 35Q35 35G61 35Q40 35Q55 76B47 35Q82 82D40 PDF BibTeX XML Cite \textit{E. Onodera}, Proc. R. Soc. Edinb., Sect. A, Math. 147, No. 6, 1243--1277 (2017; Zbl 1383.35173) Full Text: DOI
Wang, Zhong Multi solitary waves for a fourth order nonlinear Schrödinger type equation. (English) Zbl 1375.35510 Nonlinear Anal., Real World Appl. 37, 287-308 (2017). MSC: 35Q55 35C08 PDF BibTeX XML Cite \textit{Z. Wang}, Nonlinear Anal., Real World Appl. 37, 287--308 (2017; Zbl 1375.35510) Full Text: DOI
Bardakov, R. N.; Chashechkin, Yu. D. Formation of a regular sequence of vortex loops around a rotating disk in stratified fluid. (English. Russian original) Zbl 1370.76006 Fluid Dyn. 52, No. 3, 337-344 (2017); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2017, No. 3, 3-11 (2017). MSC: 76-05 76U05 76D17 76D50 PDF BibTeX XML Cite \textit{R. N. Bardakov} and \textit{Yu. D. Chashechkin}, Fluid Dyn. 52, No. 3, 337--344 (2017; Zbl 1370.76006); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2017, No. 3, 3--11 (2017) Full Text: DOI
Song, Chong Gauss map of the skew mean curvature flow. (English) Zbl 1373.53093 Proc. Am. Math. Soc. 145, No. 11, 4963-4970 (2017). Reviewer: Anthony D. Osborne (Keele) MSC: 53C44 76B47 35Q55 PDF BibTeX XML Cite \textit{C. Song}, Proc. Am. Math. Soc. 145, No. 11, 4963--4970 (2017; Zbl 1373.53093) Full Text: DOI arXiv
Jerrard, Robert L.; Seis, Christian On the vortex filament conjecture for Euler flows. (English) Zbl 1371.35205 Arch. Ration. Mech. Anal. 224, No. 1, 135-172 (2017). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q31 35B45 35B35 76B03 PDF BibTeX XML Cite \textit{R. L. Jerrard} and \textit{C. Seis}, Arch. Ration. Mech. Anal. 224, No. 1, 135--172 (2017; Zbl 1371.35205) Full Text: DOI arXiv
Grbović, Milica; Nešović, Emilija On Bäcklund transformation and vortex filament equation for null Cartan curve in Minkowski 3-space. (English) Zbl 1413.53047 Math. Phys. Anal. Geom. 19, No. 4, Paper No. 23, 15 p. (2016). MSC: 53B30 53Z05 53C40 PDF BibTeX XML Cite \textit{M. Grbović} and \textit{E. Nešović}, Math. Phys. Anal. Geom. 19, No. 4, Paper No. 23, 15 p. (2016; Zbl 1413.53047) Full Text: DOI
Nešović, Emilija; Öztürk, Ufuk; Koç Öztürk, Esra B.; İlarslan, Kazım On ruled surfaces with pseudo null base curve in Minkowski 3-space. (English) Zbl 1365.53008 Int. Electron. J. Geom. 9, No. 2, 9-20 (2016). MSC: 53A35 53B30 53B25 PDF BibTeX XML Cite \textit{E. Nešović} et al., Int. Electron. J. Geom. 9, No. 2, 9--20 (2016; Zbl 1365.53008) Full Text: Link
Grbović, Milica; Nešović, Emilija On Bäcklund transformation and vortex filament equation for pseudo null curves in Minkowski 3-space. (English) Zbl 1378.53080 Int. J. Geom. Methods Mod. Phys. 13, No. 6, Article ID 1650077, 14 p. (2016). MSC: 53C50 53Z05 37K35 58J72 53B25 PDF BibTeX XML Cite \textit{M. Grbović} and \textit{E. Nešović}, Int. J. Geom. Methods Mod. Phys. 13, No. 6, Article ID 1650077, 14 p. (2016; Zbl 1378.53080) Full Text: DOI
de la Hoz, Francisco; Vega, Luis The vortex filament equation as a pseudorandom generator. (English) Zbl 1320.35299 Acta Appl. Math. 138, No. 1, 135-151 (2015). MSC: 35Q35 35Q41 11L05 11K45 76B47 PDF BibTeX XML Cite \textit{F. de la Hoz} and \textit{L. Vega}, Acta Appl. Math. 138, No. 1, 135--151 (2015; Zbl 1320.35299) Full Text: DOI arXiv
Brugarino, Tommaso; Mongiovi, Maria Stella; Sciacca, Michele Waves on a vortex filament: exact solutions of dynamical equations. (English) Zbl 1319.76018 Z. Angew. Math. Phys. 66, No. 3, 1081-1094 (2015). MSC: 76D17 35Q35 35C07 PDF BibTeX XML Cite \textit{T. Brugarino} et al., Z. Angew. Math. Phys. 66, No. 3, 1081--1094 (2015; Zbl 1319.76018) Full Text: DOI
Chousionis, Vasilis; Erdoğan, M. Burak; Tzirakis, Nikolaos Fractal solutions of linear and nonlinear dispersive partial differential equations. (English) Zbl 1317.35230 Proc. Lond. Math. Soc. (3) 110, No. 3, 543-564 (2015). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 35Q53 35R11 PDF BibTeX XML Cite \textit{V. Chousionis} et al., Proc. Lond. Math. Soc. (3) 110, No. 3, 543--564 (2015; Zbl 1317.35230) Full Text: DOI arXiv
Jerrard, Robert L. Quantized vortex filaments in complex scalar fields. (English) Zbl 1373.35048 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. III: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-806-3/hbk; 978-89-6105-803-2/set). 789-810 (2014). MSC: 35B40 35B25 49Q15 PDF BibTeX XML Cite \textit{R. L. Jerrard}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. III: Invited lectures. Seoul: KM Kyung Moon Sa. 789--810 (2014; Zbl 1373.35048)
de la Hoz, Francisco; Vega, Luis Vortex filament equation for a regular polygon. (English) Zbl 1339.35300 Nonlinearity 27, No. 12, 3031-3057 (2014). Reviewer: Yvan Martel (Palaiseau) MSC: 35Q55 11L05 65M20 15A63 28A80 51E12 PDF BibTeX XML Cite \textit{F. de la Hoz} and \textit{L. Vega}, Nonlinearity 27, No. 12, 3031--3057 (2014; Zbl 1339.35300) Full Text: DOI arXiv
Aiki, Masashi; Iguchi, Tatsuo Motion of a vortex filament with axial flow in the half space. (English) Zbl 1302.76040 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 31, No. 6, 1311-1335 (2014). MSC: 76B47 PDF BibTeX XML Cite \textit{M. Aiki} and \textit{T. Iguchi}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 31, No. 6, 1311--1335 (2014; Zbl 1302.76040) Full Text: DOI arXiv
Yurova, Alla A hidden life of Peregrine’s soliton: rouge waves in the oceanic depths. (English) Zbl 1301.35161 Int. J. Geom. Methods Mod. Phys. 11, No. 6, Article ID 1450057, 15 p. (2014). MSC: 35Q55 37K35 37K40 53A04 76B47 35C08 76B15 PDF BibTeX XML Cite \textit{A. Yurova}, Int. J. Geom. Methods Mod. Phys. 11, No. 6, Article ID 1450057, 15 p. (2014; Zbl 1301.35161) Full Text: DOI
Lafortune, S. Stability of solitons on vortex filaments. (English) Zbl 1428.76026 Phys. Lett., A 377, No. 10-11, 766-769 (2013). MSC: 76A25 35Q55 35Q51 PDF BibTeX XML Cite \textit{S. Lafortune}, Phys. Lett., A 377, No. 10--11, 766--769 (2013; Zbl 1428.76026) Full Text: DOI
Gupta, V. G.; Pal, Kapil Klein-Gordon equation in ideal fluid. (English) Zbl 1285.35082 Int. J. Math. Anal., Ruse 7, No. 37-40, 1977-1981 (2013). MSC: 35Q35 76U05 PDF BibTeX XML Cite \textit{V. G. Gupta} and \textit{K. Pal}, Int. J. Math. Anal., Ruse 7, No. 37--40, 1977--1981 (2013; Zbl 1285.35082) Full Text: DOI
Chen, Bin; Wang, Zhiwei Numerical investigation of the evolution of elliptic vortex ring. (English) Zbl 1292.76047 Prog. Comput. Fluid Dyn. 12, No. 1, 19-26 (2012). MSC: 76M23 76B47 PDF BibTeX XML Cite \textit{B. Chen} and \textit{Z. Wang}, Prog. Comput. Fluid Dyn. 12, No. 1, 19--26 (2012; Zbl 1292.76047) Full Text: DOI
van Gorder, Robert A. Motion of a vortex filament in the local induction approximation: a perturbative approach. (English) Zbl 1291.76075 Theor. Comput. Fluid Dyn. 26, No. 1-4, 161-171 (2012). MSC: 76B47 76M45 PDF BibTeX XML Cite \textit{R. A. van Gorder}, Theor. Comput. Fluid Dyn. 26, No. 1--4, 161--171 (2012; Zbl 1291.76075) Full Text: DOI
Maslov, V. P.; Shafarevich, A. I. Asymptotic solutions of the Navier-Stokes equations and systems of stretched vortices filling a three-dimensional volume. (English) Zbl 1281.35067 Math. Notes 91, No. 2, 207-216 (2012). MSC: 35Q30 76D05 35Q31 PDF BibTeX XML Cite \textit{V. P. Maslov} and \textit{A. I. Shafarevich}, Math. Notes 91, No. 2, 207--216 (2012; Zbl 1281.35067) Full Text: DOI
Ishiwata, Tetsuya; Kumazaki, Kota Structure-preserving finite difference scheme for vortex filament motion. (English) Zbl 1278.76075 Handlovičová, Angela (ed.) et al., Algoritmy 2012. 19th conference on scientific computing, Vysoké Tatry, Podbanské, Slovakia, September 9–14, 2012. Proceedings of contributed papers and posters. Bratislava: Slovak University of Technology, Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry (ISBN 978-80-227-3742-5/pbk). 230-238 (2012). MSC: 76M20 65N06 35K55 35Q35 PDF BibTeX XML Cite \textit{T. Ishiwata} and \textit{K. Kumazaki}, in: Algoritmy 2012. 19th conference on scientific computing, Vysoké Tatry, Podbanské, Slovakia, September 9--14, 2012. Proceedings of contributed papers and posters. Bratislava: Slovak University of Technology, Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry. 230--238 (2012; Zbl 1278.76075)
Strong, Scott A.; Carr, Lincoln D. Generalized local induction equation, elliptic asymptotics, and simulating superfluid turbulence. (English) Zbl 1274.76155 J. Math. Phys. 53, No. 3, 033102, 12 p. (2012). MSC: 76A25 76B47 76F05 78A30 33E05 PDF BibTeX XML Cite \textit{S. A. Strong} and \textit{L. D. Carr}, J. Math. Phys. 53, No. 3, 033102, 12 p. (2012; Zbl 1274.76155) Full Text: DOI arXiv
Khesin, Boris Symplectic structures and dynamics on vortex membranes. (English) Zbl 1258.35162 Mosc. Math. J. 12, No. 2, 413-434 (2012). MSC: 35Q31 53C44 58E40 PDF BibTeX XML Cite \textit{B. Khesin}, Mosc. Math. J. 12, No. 2, 413--434 (2012; Zbl 1258.35162) Full Text: Link arXiv
Onodera, Eiji A curve flow on an almost Hermitian manifold evolved by a third order dispersive equation. (English) Zbl 1257.53099 Funkc. Ekvacioj, Ser. Int. 55, No. 1, 137-156 (2012). MSC: 53C44 35Q53 35Q55 PDF BibTeX XML Cite \textit{E. Onodera}, Funkc. Ekvacioj, Ser. Int. 55, No. 1, 137--156 (2012; Zbl 1257.53099) Full Text: DOI
García-Azpeitia, C.; Ize, J. Bifurcation of periodic solutions from a ring configuration in the vortex and filament problems. (English) Zbl 1252.37042 J. Differ. Equations 252, No. 10, 5662-5678 (2012). Reviewer: Svetlana A. Grishina (Ul’yanovsk) MSC: 37G40 47H11 PDF BibTeX XML Cite \textit{C. García-Azpeitia} and \textit{J. Ize}, J. Differ. Equations 252, No. 10, 5662--5678 (2012; Zbl 1252.37042) Full Text: DOI arXiv
Maslov, V. P.; Shafarevich, A. I. Asymptotic solutions of the Navier-Stokes equations describing periodic systems of localized vortices. (English) Zbl 1281.35066 Math. Notes 90, No. 5, 686-700 (2011). MSC: 35Q30 35Q31 PDF BibTeX XML Cite \textit{V. P. Maslov} and \textit{A. I. Shafarevich}, Math. Notes 90, No. 5, 686--700 (2011; Zbl 1281.35066) Full Text: DOI
Justh, Eric W.; Krishnaprasad, P. S. Optimal natural frames. (English) Zbl 1271.49032 Commun. Inf. Syst. 11, No. 1, 17-34 (2011). MSC: 49Q20 22E99 35J10 PDF BibTeX XML Cite \textit{E. W. Justh} and \textit{P. S. Krishnaprasad}, Commun. Inf. Syst. 11, No. 1, 17--34 (2011; Zbl 1271.49032) Full Text: DOI
Umeki, Makoto A locally induced homoclinic motion of a vortex filament. (English) Zbl 1191.76033 Theor. Comput. Fluid Dyn. 24, No. 1-4, 383-387 (2010). MSC: 76B47 PDF BibTeX XML Cite \textit{M. Umeki}, Theor. Comput. Fluid Dyn. 24, No. 1--4, 383--387 (2010; Zbl 1191.76033) Full Text: DOI
Onodera, Eiji A remark on the global existence of a third order dispersive flow into locally Hermitian symmetric spaces. (English) Zbl 1193.35158 Commun. Partial Differ. Equations 35, No. 6, 1130-1144 (2010). MSC: 35Q35 35Q53 35Q55 37K10 53C44 58J99 76D17 PDF BibTeX XML Cite \textit{E. Onodera}, Commun. Partial Differ. Equations 35, No. 6, 1130--1144 (2010; Zbl 1193.35158) Full Text: DOI arXiv
Zhu, Tao; Ren, Jirong; Mo, Shufan Branch processes of vortex filaments and Hopf invariant constraint on scroll wave. (English) Zbl 1185.35305 Commun. Theor. Phys. 52, No. 6, 1149-1156 (2009). MSC: 35Q92 92E20 37N99 35A16 PDF BibTeX XML Cite \textit{T. Zhu} et al., Commun. Theor. Phys. 52, No. 6, 1149--1156 (2009; Zbl 1185.35305) Full Text: DOI
Molitor, Mathieu Generalization of Hasimoto’s transformation. (English) Zbl 1185.37139 Int. J. Geom. Methods Mod. Phys. 6, No. 4, 625-630 (2009). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J35 53C20 53C40 PDF BibTeX XML Cite \textit{M. Molitor}, Int. J. Geom. Methods Mod. Phys. 6, No. 4, 625--630 (2009; Zbl 1185.37139) Full Text: DOI
Chihara, Hiroyuki; Onodera, Eiji A third order dispersive flow for closed curves into almost Hermitian manifolds. (English) Zbl 1178.35011 J. Funct. Anal. 257, No. 2, 388-404 (2009). MSC: 35A08 53A05 53C44 PDF BibTeX XML Cite \textit{H. Chihara} and \textit{E. Onodera}, J. Funct. Anal. 257, No. 2, 388--404 (2009; Zbl 1178.35011) Full Text: DOI arXiv
Fukumoto, Yasuhide Analogy of A vortex-jet filament with the Kirchhoff elastic rod and its dynamical extension. (English) Zbl 1207.76032 Borisov, Alexey V. (ed.) et al., IUTAM symposium on Hamiltonian dynamics, vortex structures, turbulence. Proceedings of the IUTAM symposium held in Moscow, Russia, 25–30 August, 2006. Dordrecht: Springer (ISBN 978-1-4020-6743-3/hbk). IUTAM Bookseries 6, 77-87 (2008). MSC: 76B47 74K10 PDF BibTeX XML Cite \textit{Y. Fukumoto}, IUTAM Bookser. 6, 77--87 (2008; Zbl 1207.76032) Full Text: DOI
Huberson, Serge; Rivoalen, Elie; Voutsinas, Spyros Vortex particle methods in aeroacoustic calculations. (English) Zbl 1146.76040 J. Comput. Phys. 227, No. 21, 9216-9240 (2008). MSC: 76M23 76M28 76Q05 PDF BibTeX XML Cite \textit{S. Huberson} et al., J. Comput. Phys. 227, No. 21, 9216--9240 (2008; Zbl 1146.76040) Full Text: DOI
Koiso, Norihito Long time existence for vortex filament equation in a Riemannian manifold. (English) Zbl 1149.53038 Osaka J. Math. 45, No. 2, 265-271 (2008). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 53C44 35Q35 35B25 PDF BibTeX XML Cite \textit{N. Koiso}, Osaka J. Math. 45, No. 2, 265--271 (2008; Zbl 1149.53038) Full Text: Euclid
Onodera, Eiji Generalized Hasimoto transform of one-dimensional dispersive flows into compact Riemann surfaces. (English) Zbl 1147.35075 SIGMA, Symmetry Integrability Geom. Methods Appl. 4, Paper 044, 10 p. (2008). MSC: 35Q35 35Q55 53Z05 35A30 PDF BibTeX XML Cite \textit{E. Onodera}, SIGMA, Symmetry Integrability Geom. Methods Appl. 4, Paper 044, 10 p. (2008; Zbl 1147.35075) Full Text: DOI EuDML arXiv
Georgievskij, D. V. Self-similar solutions in the problem of generalized vortex diffusion. (English. Russian original) Zbl 1200.76049 Fluid Dyn. 42, No. 2, 151-159 (2007); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2007, No. 2, 3-12 (2007). MSC: 76D17 76A05 PDF BibTeX XML Cite \textit{D. V. Georgievskij}, Fluid Dyn. 42, No. 2, 151--159 (2007; Zbl 1200.76049); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2007, No. 2, 3--12 (2007) Full Text: DOI
Alekseenko, S. V.; Kuibin, P. A.; Okulov, V. L. Theory of concentrated vortices. An introduction. Translated from the 2003 Rusian original. (English) Zbl 1132.76001 Berlin: Springer (ISBN 978-3-540-73375-1/hbk). xii, 486 p. (2007). Reviewer: Felix Kaplanski (Tallinn) MSC: 76-02 76B47 PDF BibTeX XML Cite \textit{S. V. Alekseenko} et al., Theory of concentrated vortices. An introduction. Translated from the 2003 Rusian original. Berlin: Springer (2007; Zbl 1132.76001)
de la Hoz, Francisco Self-similar solutions for the 1D Schrödinger map on the hyperbolic plane. (English) Zbl 1128.35099 Math. Z. 257, No. 1, 61-80 (2007). MSC: 35Q55 76B47 37K40 PDF BibTeX XML Cite \textit{F. de la Hoz}, Math. Z. 257, No. 1, 61--80 (2007; Zbl 1128.35099) Full Text: DOI
Ludu, Andrei Nonlinear waves and solitons on contours and closed surfaces. (English) Zbl 1167.35038 Springer Series in Synergetics; Springer Complexity. Berlin: Springer (ISBN 978-3-540-72872-6/pbk). xx, 466 p. (2007). Reviewer: Alina Stancu (Lowell) MSC: 35Q51 35Q53 35Q30 76W05 53Z05 35-02 PDF BibTeX XML Cite \textit{A. Ludu}, Nonlinear waves and solitons on contours and closed surfaces. Berlin: Springer (2007; Zbl 1167.35038) Full Text: DOI
Ting, Lu; Klein, Rupert; Knio, Omar M. Vortex dominated flows. Analysis and computation for multiple scale phenomena. (English) Zbl 1130.76002 Applied Mathematical Sciences 161. Berlin: Springer (ISBN 978-3-540-68581-4/hbk). xiii, 506 p. (2007). Reviewer: Felix Kaplanski (Tallinn) MSC: 76-02 76B47 76D17 76N15 76Q05 76M45 PDF BibTeX XML Cite \textit{L. Ting} et al., Vortex dominated flows. Analysis and computation for multiple scale phenomena. Berlin: Springer (2007; Zbl 1130.76002) Full Text: DOI
Konno, Kimiaki; Kakuhata, Hiroshi Localized induction equation for stretched vortex filament. (English) Zbl 1128.37044 SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 032, 6 p. (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37K10 35Q51 76B47 PDF BibTeX XML Cite \textit{K. Konno} and \textit{H. Kakuhata}, SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 032, 6 p. (2006; Zbl 1128.37044) Full Text: DOI EMIS EuDML arXiv
Hao, Chengchun; Hsiao, Ling; Wang, Baoxiang Wellposedness for the fourth order nonlinear Schrödinger equations. (English) Zbl 1091.35090 J. Math. Anal. Appl. 320, No. 1, 246-265 (2006). MSC: 35Q55 35B65 PDF BibTeX XML Cite \textit{C. Hao} et al., J. Math. Anal. Appl. 320, No. 1, 246--265 (2006; Zbl 1091.35090) Full Text: DOI
Konno, K.; Kakuhata, H. A new type of stretched solutions excited by initially stretched vortex filaments for the local induction equation. (English) Zbl 1178.74094 Theor. Math. Phys. 144, No. 2, 1181-1189 (2005); translation from Teor. Mat. Fiz. 144, No. 3, 354-363 (2005). MSC: 74K05 35Q74 PDF BibTeX XML Cite \textit{K. Konno} and \textit{H. Kakuhata}, Theor. Math. Phys. 144, No. 2, 1181--1189 (2005; Zbl 1178.74094); translation from Teor. Mat. Fiz. 144, No. 3, 354--363 (2005) Full Text: DOI
Zabusky, N. J.; Lugomer, S.; Zhang, S. Micro-fluid dynamics via laser metal surface interactions: Wave-vortex interpretation of emerging multiscale coherent structures. (English) Zbl 1153.76314 Fluid Dyn. Res. 36, No. 4-6, 291-299 (2005). MSC: 76-05 76T99 76E99 PDF BibTeX XML Cite \textit{N. J. Zabusky} et al., Fluid Dyn. Res. 36, No. 4--6, 291--299 (2005; Zbl 1153.76314) Full Text: DOI
Lugomer, Stjepan; Fukumoto, Yasuhide Hierarchical instability of a vortex ring array in multipulse laser-matter interactions. (English) Zbl 1153.76305 Fluid Dyn. Res. 36, No. 4-6, 277-290 (2005). MSC: 76-05 76E99 76B47 PDF BibTeX XML Cite \textit{S. Lugomer} and \textit{Y. Fukumoto}, Fluid Dyn. Res. 36, No. 4--6, 277--290 (2005; Zbl 1153.76305) Full Text: DOI
Konno, Kimiaki; Kakuhata, Hiroshi A hierarchy for integrable equations of stretched vortex filament. (English) Zbl 1076.37062 J. Phys. Soc. Japan 74, No. 5, 1427-1430 (2005). MSC: 37K15 35Q35 76B47 PDF BibTeX XML Cite \textit{K. Konno} and \textit{H. Kakuhata}, J. Phys. Soc. Japan 74, No. 5, 1427--1430 (2005; Zbl 1076.37062) Full Text: DOI
Elhmaidi, D.; Provenzale, A.; Lili, T.; Babiano, A. Stability of two-dimensional vorticity filaments. (English) Zbl 1123.76333 Phys. Lett., A 333, No. 1-2, 85-90 (2004). MSC: 76F99 76D17 76M25 PDF BibTeX XML Cite \textit{D. Elhmaidi} et al., Phys. Lett., A 333, No. 1--2, 85--90 (2004; Zbl 1123.76333) Full Text: DOI
Milane, R. E.; Abdolhosseini, R. Development of a three-dimensional vortex-in-cell method for a spatially growing uniformly sheared flow. (English) Zbl 1063.76615 Int. J. Comput. Fluid Dyn. 18, No. 1, 47-69 (2004). MSC: 76M23 76D05 PDF BibTeX XML Cite \textit{R. E. Milane} and \textit{R. Abdolhosseini}, Int. J. Comput. Fluid Dyn. 18, No. 1, 47--69 (2004; Zbl 1063.76615) Full Text: DOI
Margerit, D.; Brancher, P.; Giovannini, A. Implementation and validation of a slender vortex filament code: Its application to the study of a four-vortex wake model. (English) Zbl 1079.76604 Int. J. Numer. Methods Fluids 44, No. 2, 175-196 (2004). MSC: 76M22 76B47 76B10 76E99 PDF BibTeX XML Cite \textit{D. Margerit} et al., Int. J. Numer. Methods Fluids 44, No. 2, 175--196 (2004; Zbl 1079.76604) Full Text: DOI
Vega, Luis Kink solutions of the binormal flow. (English) Zbl 1057.35039 Proceedings of the conference on partial differential equations, Forges-les-Eaux, France, June 2–6, 2003. Exp. Nos. I-XV. Nantes: Université de Nantes (ISBN 2-86939-207-9/pbk). Exp. No. XIV, 10 p. (2003). MSC: 35Q35 76B47 37K25 PDF BibTeX XML Cite \textit{L. Vega}, in: Journées ``Équations aux dérivées partielles'', Forges-les-Eaux, France, 2 au 6 juin 2003. Exposés Nos. I-XV. Nantes: Université de Nantes. Exp. No. XIV, 10 p. (2003; Zbl 1057.35039) Full Text: Numdam
Bracken, P.; Goldstein, P. P.; Grundland, A. M. On vortex solutions and links between the Weierstrass system and the complex sine-Gordon equations. (English) Zbl 1040.35090 J. Nonlinear Math. Phys. 10, No. 4, 464-486 (2003). MSC: 35Q53 37K20 PDF BibTeX XML Cite \textit{P. Bracken} et al., J. Nonlinear Math. Phys. 10, No. 4, 464--486 (2003; Zbl 1040.35090) Full Text: DOI
Koiso, Norihito Vortex filament equation in a Riemannian manifold. (English) Zbl 1080.53059 Tohoku Math. J., II. Ser. 55, No. 2, 311-320 (2003). Reviewer: Cezar Dumitru Oniciuc (Cagliari) MSC: 53C44 35Q35 35B25 PDF BibTeX XML Cite \textit{N. Koiso}, Tohoku Math. J. (2) 55, No. 2, 311--320 (2003; Zbl 1080.53059) Full Text: DOI
Gutiérrez, Susana; Rivas, Judith; Vega, Luis Formation of singularities and self-similar vortex motion under the localized induction approximation. (English) Zbl 1044.35089 Commun. Partial Differ. Equations 28, No. 5-6, 927-968 (2003). Reviewer: Igor Andrianov (Köln) MSC: 35Q55 76B47 35A21 35K45 35Q35 76B03 PDF BibTeX XML Cite \textit{S. Gutiérrez} et al., Commun. Partial Differ. Equations 28, No. 5--6, 927--968 (2003; Zbl 1044.35089) Full Text: DOI
Balakrishnan, R.; Murugesh, S. Kinematics of the three moving space curves associated with the nonlinear Schrödinger equation. (English. Russian original) Zbl 1068.37055 Theor. Math. Phys. 133, No. 3, 1609-1618 (2002); translation from Teor. Mat. Fiz. 133, No. 3, 341-352 (2002). MSC: 37K25 35Q55 53A04 PDF BibTeX XML Cite \textit{R. Balakrishnan} and \textit{S. Murugesh}, Theor. Math. Phys. 133, No. 3, 1609--1618 (2002; Zbl 1068.37055); translation from Teor. Mat. Fiz. 133, No. 3, 341--352 (2002) Full Text: DOI
Flandoli, Franco; Gubinelli, Massimiliano The Gibbs ensemble of a vortex filament. (English) Zbl 0992.60058 Probab. Theory Relat. Fields 122, No. 3, 317-340 (2002). MSC: 60H05 76F05 76M23 82B99 60H30 PDF BibTeX XML Cite \textit{F. Flandoli} and \textit{M. Gubinelli}, Probab. Theory Relat. Fields 122, No. 3, 317--340 (2002; Zbl 0992.60058) Full Text: DOI
Majda, Andrew J.; Bertozzi, Andrea L. Vorticity and incompressible flow. (English) Zbl 0983.76001 Cambridge Texts in Applied Mathematics. Cambridge: Cambridge University Press (ISBN 0-521-63057-6/hbk; 0-521-63948-4/pbk). xii, 545 p. (2002). Reviewer: Vladimir Shelukhin (Novosibirsk) MSC: 76-02 76B03 76B47 76D03 76M23 35R35 35Q30 PDF BibTeX XML Cite \textit{A. J. Majda} and \textit{A. L. Bertozzi}, Vorticity and incompressible flow. Cambridge: Cambridge University Press (2002; Zbl 0983.76001) Full Text: DOI
Nemirovskij, S. K.; Baltsevich, A. Ja. Stochastic dynamics of a vortex loop. Large-scale stirring force. (English) Zbl 1039.76026 Barenghi, C. F. (ed.) et al., Quantized vortex dynamics and superfluid turbulence. Berlin: Springer (ISBN 3-540-42226-9). Lect. Notes Phys. 571, 219-225 (2001). MSC: 76F55 76A25 PDF BibTeX XML Cite \textit{S. K. Nemirovskij} and \textit{A. Ja. Baltsevich}, Lect. Notes Phys. 571, 219--225 (2001; Zbl 1039.76026)
Nemirovskij, Sergey K.; Nedobojko, Mikhail V. Applications of the Gaussian model of the vortex tangle in the superfluid turbulent \(He\) II. (English) Zbl 1039.76004 Barenghi, C. F. (ed.) et al., Quantized vortex dynamics and superfluid turbulence. Berlin: Springer (ISBN 3-540-42226-9). Lect. Notes Phys. 571, 205-211 (2001). MSC: 76A25 76F55 82D50 PDF BibTeX XML Cite \textit{S. K. Nemirovskij} and \textit{M. V. Nedobojko}, Lect. Notes Phys. 571, 205--211 (2001; Zbl 1039.76004)
Margerit, D.; Brancher, J.-P. Asymptotic expansions of the Biot-Savart law for a slender vortex with core variation. (English) Zbl 0998.76014 J. Eng. Math. 40, No. 3, 297-313 (2001). Reviewer: Mirela Kohr (Cluj-Napoca) MSC: 76B47 76D17 76M45 PDF BibTeX XML Cite \textit{D. Margerit} and \textit{J. P. Brancher}, J. Eng. Math. 40, No. 3, 297--313 (2001; Zbl 0998.76014) Full Text: DOI
Kimura, Y.; Herring, J. R. Gradient enhancement and filament ejection for a non-uniform elliptic vortex in two-dimensional turbulence. (English) Zbl 1017.76038 J. Fluid Mech. 439, 43-56 (2001). MSC: 76F99 76D17 PDF BibTeX XML Cite \textit{Y. Kimura} and \textit{J. R. Herring}, J. Fluid Mech. 439, 43--56 (2001; Zbl 1017.76038) Full Text: DOI
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 PDF BibTeX XML Cite \textit{P. K. Newton}, The \(N\)-vortex problem. Analytical techniques. New York, NY: Springer (2001; Zbl 0981.76002)
Grinevich, P. G. Approximation theorem for the self-focusing nonlinear Schrödinger equation and for the periodic curves in \(\mathbb{R}^3\). (English) Zbl 0981.35082 Physica D 152-153, 20-27 (2001). MSC: 35Q55 37K20 76B47 PDF BibTeX XML Cite \textit{P. G. Grinevich}, Physica D 152--153, 20--27 (2001; Zbl 0981.35082) Full Text: DOI
Calini, Annalisa M.; Ivey, Thomas A. Connecting geometry, topology and spectra for finite-gap NLS potentials. (English) Zbl 0979.35134 Physica D 152-153, 9-19 (2001). MSC: 35Q55 37K20 76B47 PDF BibTeX XML Cite \textit{A. M. Calini} and \textit{T. A. Ivey}, Physica D 152--153, 9--19 (2001; Zbl 0979.35134) Full Text: DOI
Calini, Annalisa M.; Ivey, Thomas A. Knot types, Floquet spectra, and finite-gap solutions of the vortex filament equation. (English) Zbl 0980.35152 Math. Comput. Simul. 55, No. 4-6, 341-350 (2001). MSC: 35Q55 37K20 37K25 PDF BibTeX XML Cite \textit{A. M. Calini} and \textit{T. A. Ivey}, Math. Comput. Simul. 55, No. 4--6, 341--350 (2001; Zbl 0980.35152) Full Text: DOI arXiv
Gossler, A. A.; Marshall, J. S. Simulation of normal vortex-cylinder interaction in a viscous fluid. (English) Zbl 0991.76019 J. Fluid Mech. 431, 371-405 (2001). Reviewer: Arkadi Berezovski (Tallinn) MSC: 76D17 76M23 PDF BibTeX XML Cite \textit{A. A. Gossler} and \textit{J. S. Marshall}, J. Fluid Mech. 431, 371--405 (2001; Zbl 0991.76019) Full Text: DOI
Tang, S. K. Effects of porous boundaries on the dynamics of an inviscid vortex filament. (English) Zbl 0988.76093 Q. J. Mech. Appl. Math. 54, No. 1, 65-84 (2001). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 76S05 76B47 76M40 PDF BibTeX XML Cite \textit{S. K. Tang}, Q. J. Mech. Appl. Math. 54, No. 1, 65--84 (2001; Zbl 0988.76093) Full Text: DOI
Yoshida, Kyo; Hatakeyama, Nozomu Statistical laws of velocity circulation in homogeneous turbulence. (English) Zbl 1113.76343 J. Phys. Soc. Japan 69, No. 6, 1661-1671 (2000). MSC: 76F05 76D05 PDF BibTeX XML Cite \textit{K. Yoshida} and \textit{N. Hatakeyama}, J. Phys. Soc. Japan 69, No. 6, 1661--1671 (2000; Zbl 1113.76343) Full Text: DOI
Oganesyan, Kh. V.; Ter-Krikorov, A. M. Nonlinear instability of steady flows generated by a vortex filament in stratified gas. (English. Russian original) Zbl 0986.76020 J. Appl. Math. Mech. 64, No. 2, 337-339 (2000); translation from Prikl. Mat. Mekh. 64, No. 2, 349-351 (2000). Reviewer: V. I. Goncharenko (Kyïv) MSC: 76E30 76N15 PDF BibTeX XML Cite \textit{Kh. V. Oganesyan} and \textit{A. M. Ter-Krikorov}, Prikl. Mat. Mekh. 64, No. 2, 349--351 (2000; Zbl 0986.76020); translation from Prikl. Mat. Mekh. 64, No. 2, 349--351 (2000)
Shafarevich, A. I. Asymptotic description of vortex filaments in an incompressible liquid. (English. Russian original) Zbl 0984.76017 J. Appl. Math. Mech. 64, No. 2, 255-265 (2000); translation from Prikl. Mat. Mekh. 64, No. 2, 264-275 (2000). Reviewer: A. Ja. Olejnik (Kyïv) MSC: 76D17 76M45 PDF BibTeX XML Cite \textit{A. I. Shafarevich}, Prikl. Mat. Mekh. 64, No. 2, 264--275 (2000; Zbl 0984.76017); translation from Prikl. Mat. Mekh. 64, No. 2, 264--275 (2000)
Nishiyama, Takahiro On the initial-boundary value problem for a vortex filament in an external flow under the localized induction approximation. (English) Zbl 0998.76005 Transp. Theory Stat. Phys. 29, No. 3-5, 615-623 (2000). MSC: 76B03 76B47 35Q35 PDF BibTeX XML Cite \textit{T. Nishiyama}, Transp. Theory Stat. Phys. 29, No. 3--5, 615--623 (2000; Zbl 0998.76005) Full Text: DOI
Ivey, Thomas A. Helices, Hasimoto surfaces and Bäcklund transformations. (English) Zbl 0992.53004 Can. Math. Bull. 43, No. 4, 427-439 (2000). Reviewer: Raul Ibáñez (Bilbao) MSC: 53A05 37K35 53C12 37K25 53D25 PDF BibTeX XML Cite \textit{T. A. Ivey}, Can. Math. Bull. 43, No. 4, 427--439 (2000; Zbl 0992.53004) Full Text: DOI
Margerit, Daniel; Brancher, Jean-Pierre Motion and oscillations of a circular perturbed vortex ring. (English. Abridged French version) Zbl 1007.76010 C. R. Acad. Sci., Paris, Sér. II, Fasc. b, Méc. 328, No. 5, 393-398 (2000). MSC: 76B47 76D17 76M45 PDF BibTeX XML Cite \textit{D. Margerit} and \textit{J.-P. Brancher}, C. R. Acad. Sci., Paris, Sér. II, Fasc. b, Méc. 328, No. 5, 393--398 (2000; Zbl 1007.76010) Full Text: DOI
Boyer, Denis; Elicer-Cortés, Juan Carlos Conformations and persistence lengths of vortex filaments in homogeneous turbulence. (English) Zbl 0991.76028 J. Phys. A, Math. Gen. 33, No. 39, 6859-6868 (2000). MSC: 76F05 76F55 PDF BibTeX XML Cite \textit{D. Boyer} and \textit{J. C. Elicer-Cortés}, J. Phys. A, Math. Gen. 33, No. 39, 6859--6868 (2000; Zbl 0991.76028) Full Text: DOI
Knio, Omar M.; Klein, Rupert Improved thin-tube models for slender vortex simulations. (English) Zbl 0991.76060 J. Comput. Phys. 163, No. 1, 68-82 (2000). MSC: 76M23 76B47 76M45 PDF BibTeX XML Cite \textit{O. M. Knio} and \textit{R. Klein}, J. Comput. Phys. 163, No. 1, 68--82 (2000; Zbl 0991.76060) Full Text: DOI
Grinevich, P. G.; Schmidt, M. U. Closed curves in \(\mathbb{R}^3\) and the nonlinear Schrödinger equation. (English) Zbl 0964.35149 Boiti, M. (ed.) et al., Proceedings of the workshop on nonlinearity, integrability and all that: twenty years after NEEDS ’79, Lecce, Italy, July 1-10, 1999. Singapore: World Scientific. 139-145 (2000). MSC: 35Q55 37K25 76B47 PDF BibTeX XML Cite \textit{P. G. Grinevich} and \textit{M. U. Schmidt}, in: Proceedings of the workshop on nonlinearity, integrability and all that: twenty years after NEEDS '79, Lecce, Italy, July 1--10, 1999. Singapore: World Scientific. 139--145 (2000; Zbl 0964.35149)
Tsutahara, Michihisa; Miura, Akira; Ogawa, Kazuhiko; Akita, Katsuhiko Three-dimensional vortex method using the Ferguson spline. (English) Zbl 0988.76070 Kamemoto, Kyoji (ed.) et al., Vortex methods. Selected papers from the 1st international conference, Kobe, Japan, November 4-5, 1999. Singapore: World Scientific. 153-160 (2000). MSC: 76M23 65D07 PDF BibTeX XML Cite \textit{M. Tsutahara} et al., in: Vortex methods. Selected papers from the 1st international conference, Kobe, Japan, November 4--5, 1999. Singapore: World Scientific. 153--160 (2000; Zbl 0988.76070)
Calini, Annalisa Recent developments in integrable curve dynamics. (English) Zbl 0997.37055 Vassiliou, Peter J. (ed.) et al., Geometric approaches to differential equations. Cambridge: Cambridge University Press. Aust. Math. Soc. Lect. Ser. 15, 56-99 (2000). Reviewer: Messoud Efendiev (Berlin) MSC: 37K25 37K65 35Q35 37N10 76B47 53A04 PDF BibTeX XML Cite \textit{A. Calini}, Aust. Math. Soc. Lect. Ser. 15, 56--99 (2000; Zbl 0997.37055)
Nishiyama, Takahiro Existence of a solution to the mixed problem for a vortex filament equation with an external flow term. (English) Zbl 0958.35107 J. Math. Sci., Tokyo 7, No. 1, 35-55 (2000). Reviewer: A.Carabineanu (Bucureşti) MSC: 35Q35 76B47 35K55 76Y05 PDF BibTeX XML Cite \textit{T. Nishiyama}, J. Math. Sci., Tokyo 7, No. 1, 35--55 (2000; Zbl 0958.35107)
Cortez, Ricardo A vortex/impulse method for immersed boundary motion in high Reynolds number flows. (English) Zbl 0964.76067 J. Comput. Phys. 160, No. 1, 385-400 (2000). MSC: 76M23 76D05 76Z05 PDF BibTeX XML Cite \textit{R. Cortez}, J. Comput. Phys. 160, No. 1, 385--400 (2000; Zbl 0964.76067) Full Text: DOI
Pelz, R. B.; Gulak, Y.; Greene, J. M.; Boratav, O. N. On the finite-time singularity problem in hydrodynamics. (English) Zbl 1010.76008 Gyr, Albert (ed.) et al., Fundamental problematic issues in turbulence. 2nd Monte Verita colloquium, Monte Verita, Switzerland, March 23-27, 1998. Basel: Birkhäuser. 33-40 (1999). MSC: 76B03 35Q35 PDF BibTeX XML Cite \textit{R. B. Pelz} et al., in: Fundamental problematic issues in turbulence. 2nd Monte Verita colloquium, Monte Verita, Switzerland, March 23--27, 1998. Basel: Birkhäuser. 33--40 (1999; Zbl 1010.76008)
Liu, Pangfeng Parallel tree code library for vortex dynamics. (English) Zbl 0993.76064 Lin, C. A. (ed.) et al., Parallel computational fluid dynamics. Development and applications of parallel technology. Proceedings of the Parallel CFD ’98. Conference, Hsinchu, Taiwan, May 11-14, 1998. Amsterdam: Elsevier. 423-432 (1999). MSC: 76M23 65Y05 70-08 PDF BibTeX XML Cite \textit{P. Liu}, in: Parallel computational fluid dynamics. Development and applications of parallel technology. Proceedings of the Parallel CFD '98. Conference, Hsinchu, Taiwan, May 11--14, 1998. Amsterdam: Elsevier. 423--432 (1999; Zbl 0993.76064)
Ricca, Renzo L.; Samuels, David C.; Barenghi, Carlo F. Evolution of vortex knots. (English) Zbl 1009.76012 J. Fluid Mech. 391, 29-44 (1999). MSC: 76B47 57M99 PDF BibTeX XML Cite \textit{R. L. Ricca} et al., J. Fluid Mech. 391, 29--44 (1999; Zbl 1009.76012) Full Text: DOI
Oganesyan, Kh. V.; Ter-Krikorov, A. M. The instability of steady flows generated by a vortex filament in stratified gas. (English. Russian original) Zbl 0946.76081 J. Appl. Math. Mech. 63, No. 3, 449-451 (1999); translation from Prikl. Mat. Mekh. 63, No. 3, 467-469 (1999). Reviewer: A. Ja. Olejnik (Kyïv) MSC: 76N15 76E09 PDF BibTeX XML Cite \textit{Kh. V. Oganesyan} and \textit{A. M. Ter-Krikorov}, Prikl. Mat. Mekh. 63, No. 3, 467--469 (1999; Zbl 0946.76081); translation from Prikl. Mat. Mekh. 63, No. 3, 467--469 (1999)
Lin, Jianzhong; Lin, Jiang; Zhu, Libing Research on the particle dispersion in the particulate two-phase round jet. (English) Zbl 0973.76615 Appl. Math. Mech., Engl. Ed. 20, No. 5, 495-502 (1999). MSC: 76T15 76M23 PDF BibTeX XML Cite \textit{J. Lin} et al., Appl. Math. Mech., Engl. Ed. 20, No. 5, 495--502 (1999; Zbl 0973.76615) Full Text: DOI
Margerit, D.; Brancher, J.-P. The different equations of motion of the central line of a slender vortex filament and their use to study perturbed vortices. (English) Zbl 0942.76010 ESAIM, Proc. 7, 270-279 (1999). MSC: 76B47 76M45 PDF BibTeX XML Cite \textit{D. Margerit} and \textit{J. P. Brancher}, ESAIM, Proc. 7, 270--279 (1999; Zbl 0942.76010) Full Text: DOI Link
Rivoalen, E.; Huberson, S.; Knio, O. M. Sound generation by the interaction of a vortex ring with a rigid sphere. (English) Zbl 0943.76064 ESAIM, Proc. 7, 369-377 (1999). MSC: 76M28 76Q05 PDF BibTeX XML Cite \textit{E. Rivoalen} et al., ESAIM, Proc. 7, 369--377 (1999; Zbl 0943.76064) Full Text: DOI Link
Broadbent, E. G.; Moore, D. W. The interaction of a hollow vortex with an inclined plane and the acoustic radiation produced. (English) Zbl 0933.76081 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1986, 1979-1991 (1999). MSC: 76Q05 PDF BibTeX XML Cite \textit{E. G. Broadbent} and \textit{D. W. Moore}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1986, 1979--1991 (1999; Zbl 0933.76081) Full Text: DOI
Alekseenko, S. V.; Kuibin, P. A.; Okulov, V. L.; Shtork, S. I. Helical vortices in swirl flow. (English) Zbl 0941.76014 J. Fluid Mech. 382, 195-243 (1999). Reviewer: F.Kaplanski (Tallinn) MSC: 76B47 76-05 76U05 PDF BibTeX XML Cite \textit{S. V. Alekseenko} et al., J. Fluid Mech. 382, 195--243 (1999; Zbl 0941.76014) Full Text: DOI
Nishiyama, Takahiro On the motion of a vortex filament in an external flow according to the localized induction approximation. (English) Zbl 0951.76018 Proc. R. Soc. Edinb., Sect. A, Math. 129, No. 3, 617-626 (1999). Reviewer: Valeriu Al.Sava (Iaşi) MSC: 76B47 76B03 35Q35 PDF BibTeX XML Cite \textit{T. Nishiyama}, Proc. R. Soc. Edinb., Sect. A, Math. 129, No. 3, 617--626 (1999; Zbl 0951.76018) Full Text: DOI
Wu, Yonghui; Mu, Mu Maximal energy isolated vortices in a uniform shear flow. (English) Zbl 0953.76013 Nonlinear Anal., Theory Methods Appl. 38, No. 1, B, 123-135 (1999). Reviewer: F.Kaplanski (Tallinn) MSC: 76B47 76M45 86A10 PDF BibTeX XML Cite \textit{Y. Wu} and \textit{M. Mu}, Nonlinear Anal., Theory Methods Appl. 38, No. 1, 123--135 (1999; Zbl 0953.76013) Full Text: DOI