Cao, Daomin; Qin, Guolin; Zhan, Weicheng; Zou, Changjun Global solutions for the generalized SQG equation and rearrangements. (English) Zbl 07655331 Trans. Am. Math. Soc. 376, No. 3, 2181-2211 (2023). MSC: 76B47 PDF BibTeX XML Cite \textit{D. Cao} et al., Trans. Am. Math. Soc. 376, No. 3, 2181--2211 (2023; Zbl 07655331) Full Text: DOI arXiv OpenURL
Cao, Daomin; Wan, Jie Helical vortices with small cross-section for 3D incompressible Euler equation. (English) Zbl 07654556 J. Funct. Anal. 284, No. 7, Article ID 109836, 48 p. (2023). MSC: 76B47 76B03 35Q31 PDF BibTeX XML Cite \textit{D. Cao} and \textit{J. Wan}, J. Funct. Anal. 284, No. 7, Article ID 109836, 48 p. (2023; Zbl 07654556) Full Text: DOI arXiv OpenURL
Rodrigues, Adriano Regis; Castilho, César; Koiller, Jair On the linear stability of a vortex pair equilibrium on a Riemann surface of genus zero. (English) Zbl 07612334 Regul. Chaotic Dyn. 27, No. 5, 493-524 (2022). MSC: 37J39 37J35 37J38 70H14 70K20 PDF BibTeX XML Cite \textit{A. R. Rodrigues} et al., Regul. Chaotic Dyn. 27, No. 5, 493--524 (2022; Zbl 07612334) Full Text: DOI OpenURL
Bravin, Marco; Sueur, Franck Existence of weak solutions to the two-dimensional incompressible Euler equations in the presence of sources and sinks. (English) Zbl 1496.35288 Adv. Differ. Equ. 27, No. 11-12, 683-734 (2022). MSC: 35Q31 76B03 76F25 35D30 35B45 37K10 PDF BibTeX XML Cite \textit{M. Bravin} and \textit{F. Sueur}, Adv. Differ. Equ. 27, No. 11--12, 683--734 (2022; Zbl 1496.35288) Full Text: arXiv Link OpenURL
Cao, Daomin; Yu, Weilin; Zou, Changjun Local uniqueness of vortices for 2D steady Euler flow in a bounded domain. (English) Zbl 1496.76036 J. Funct. Anal. 283, No. 8, Article ID 109603, 43 p. (2022). MSC: 76B47 76B03 76E30 35Q31 PDF BibTeX XML Cite \textit{D. Cao} et al., J. Funct. Anal. 283, No. 8, Article ID 109603, 43 p. (2022; Zbl 1496.76036) Full Text: DOI arXiv OpenURL
Grotta-Ragazzo, Clodoaldo Errata and addenda to: “Hydrodynamic vortex on surfaces” and “The motion of a vortex on a closed surface of constant negative curvature”. (English) Zbl 1494.76022 J. Nonlinear Sci. 32, No. 5, Paper No. 63, 10 p. (2022). MSC: 76B47 70F99 53C07 31A15 PDF BibTeX XML Cite \textit{C. Grotta-Ragazzo}, J. Nonlinear Sci. 32, No. 5, Paper No. 63, 10 p. (2022; Zbl 1494.76022) Full Text: DOI arXiv OpenURL
Gustafsson, Björn Vortex pairs and dipoles on closed surfaces. (English) Zbl 1494.76023 J. Nonlinear Sci. 32, No. 5, Paper No. 62, 38 p. (2022). MSC: 76B47 76M40 30F99 53Z05 PDF BibTeX XML Cite \textit{B. Gustafsson}, J. Nonlinear Sci. 32, No. 5, Paper No. 62, 38 p. (2022; Zbl 1494.76023) Full Text: DOI arXiv OpenURL
Cao, Daomin; Wan, Jie Multiscale steady vortex patches for 2D incompressible Euler equations. (English) Zbl 07493739 SIAM J. Math. Anal. 54, No. 2, 1488-1514 (2022). MSC: 76B47 35Q31 PDF BibTeX XML Cite \textit{D. Cao} and \textit{J. Wan}, SIAM J. Math. Anal. 54, No. 2, 1488--1514 (2022; Zbl 07493739) Full Text: DOI OpenURL
Dekeyser, Justin Desingularization of a steady vortex pair in the lake equation. (English) Zbl 07464236 Potential Anal. 56, No. 1, 97-135 (2022). MSC: 76C05 35Q35 35C15 58E30 PDF BibTeX XML Cite \textit{J. Dekeyser}, Potential Anal. 56, No. 1, 97--135 (2022; Zbl 07464236) Full Text: DOI arXiv OpenURL
Wan, Jie Multiscale rotating vortex patches for 2D Euler flows in a disk. (English) Zbl 1475.76017 J. Math. Fluid Mech. 23, No. 4, Paper No. 101, 19 p. (2021). MSC: 76B47 76B03 76M30 76U05 35Q31 PDF BibTeX XML Cite \textit{J. Wan}, J. Math. Fluid Mech. 23, No. 4, Paper No. 101, 19 p. (2021; Zbl 1475.76017) Full Text: DOI OpenURL
Wan, Jie Desingularization of multiscale solutions to planar incompressible Euler equations. (English) Zbl 1472.76024 J. Differ. Equations 300, 118-154 (2021). MSC: 76B47 76B03 76M30 35Q31 PDF BibTeX XML Cite \textit{J. Wan}, J. Differ. Equations 300, 118--154 (2021; Zbl 1472.76024) Full Text: DOI OpenURL
Ceci, Stefano; Seis, Christian Vortex dynamics for 2D Euler flows with unbounded vorticity. (English) Zbl 1467.76024 Rev. Mat. Iberoam. 37, No. 5, 1969-1990 (2021). MSC: 76B47 76B03 35Q31 PDF BibTeX XML Cite \textit{S. Ceci} and \textit{C. Seis}, Rev. Mat. Iberoam. 37, No. 5, 1969--1990 (2021; Zbl 1467.76024) Full Text: DOI arXiv OpenURL
Wang, Qun The \(n\)-vortex problem on a Riemann sphere. (English) Zbl 1477.70022 Commun. Math. Phys. 385, No. 1, 565-593 (2021). MSC: 70G45 30F99 37F99 76B47 PDF BibTeX XML Cite \textit{Q. Wang}, Commun. Math. Phys. 385, No. 1, 565--593 (2021; Zbl 1477.70022) Full Text: DOI arXiv OpenURL
Cao, Daomin; Wang, Guodong; Zhan, Weicheng Steady vortex patches near a nontrivial irrotational flow. (English) Zbl 1470.76025 Sci. China, Math. 64, No. 5, 947-962 (2021). MSC: 76B47 76B03 76M30 35Q31 PDF BibTeX XML Cite \textit{D. Cao} et al., Sci. China, Math. 64, No. 5, 947--962 (2021; Zbl 1470.76025) Full Text: DOI arXiv OpenURL
Yang, Cheng Vortex motion of the Euler and lake equations. (English) Zbl 1470.37080 J. Nonlinear Sci. 31, No. 3, Paper No. 48, 21 p. (2021). Reviewer: Xiang Yu (Chengdu) MSC: 37J35 37J30 37N05 70F10 PDF BibTeX XML Cite \textit{C. Yang}, J. Nonlinear Sci. 31, No. 3, Paper No. 48, 21 p. (2021; Zbl 1470.37080) Full Text: DOI arXiv OpenURL
Cao, Daomin; Wan, Jie; Wang, Guodong; Zhan, Weicheng Rotating vortex patches for the planar Euler equations in a disk. (English) Zbl 1455.35180 J. Differ. Equations 275, 509-532 (2021). MSC: 35Q31 35A15 35B35 76B47 PDF BibTeX XML Cite \textit{D. Cao} et al., J. Differ. Equations 275, 509--532 (2021; Zbl 1455.35180) Full Text: DOI arXiv OpenURL
Wang, Guodong On 2D steady Euler flows with small vorticity near the boundary. (English) Zbl 1451.35123 J. Differ. Equations 270, 24-46 (2021). MSC: 35Q31 76B47 76B03 35J61 35J20 PDF BibTeX XML Cite \textit{G. Wang}, J. Differ. Equations 270, 24--46 (2021; Zbl 1451.35123) Full Text: DOI OpenURL
Cao, Daomin; Wang, Guodong Existence of steady multiple vortex patches to the vortex-wave system. (English) Zbl 1458.35159 Pac. J. Math. 308, No. 2, 257-279 (2020). Reviewer: Alain Brillard (Riedisheim) MSC: 35J50 35Q35 PDF BibTeX XML Cite \textit{D. Cao} and \textit{G. Wang}, Pac. J. Math. 308, No. 2, 257--279 (2020; Zbl 1458.35159) Full Text: DOI arXiv OpenURL
Cao, Daomin; Wang, Guodong; Zhan, Weicheng Desingularization of vortices for two-dimensional steady Euler flows via the vorticity method. (English) Zbl 1461.76082 SIAM J. Math. Anal. 52, No. 6, 5363-5388 (2020). MSC: 76B47 76B03 76E30 76M23 35Q31 PDF BibTeX XML Cite \textit{D. Cao} et al., SIAM J. Math. Anal. 52, No. 6, 5363--5388 (2020; Zbl 1461.76082) Full Text: DOI arXiv OpenURL
Bartolucci, Daniele; Jevnikar, Aleks; Lee, Youngae; Yang, Wen Local uniqueness and non-degeneracy of blow up solutions of mean field equations with singular data. (English) Zbl 1447.35134 J. Differ. Equations 269, No. 3, 2057-2090 (2020). Reviewer: Zhijie Chen (Beijing) MSC: 35J25 35J61 PDF BibTeX XML Cite \textit{D. Bartolucci} et al., J. Differ. Equations 269, No. 3, 2057--2090 (2020; Zbl 1447.35134) Full Text: DOI arXiv OpenURL
Dekeyser, Justin; Van Schaftingen, Jean Vortex motion for the lake equations. (English) Zbl 1443.76117 Commun. Math. Phys. 375, No. 2, 1459-1501 (2020). MSC: 76B47 76U60 76M45 86A05 PDF BibTeX XML Cite \textit{J. Dekeyser} and \textit{J. Van Schaftingen}, Commun. Math. Phys. 375, No. 2, 1459--1501 (2020; Zbl 1443.76117) Full Text: DOI arXiv OpenURL
Wang, Guodong; Zuo, Bijun Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain. (English) Zbl 1439.35387 J. Math. Anal. Appl. 487, No. 2, Article ID 124012, 15 p. (2020). MSC: 35Q31 76B47 35A01 35A02 76U05 49S05 PDF BibTeX XML Cite \textit{G. Wang} and \textit{B. Zuo}, J. Math. Anal. Appl. 487, No. 2, Article ID 124012, 15 p. (2020; Zbl 1439.35387) Full Text: DOI arXiv OpenURL
Davila, Juan; Del Pino, Manuel; Musso, Monica; Wei, Juncheng Gluing methods for vortex dynamics in Euler flows. (English) Zbl 1439.35382 Arch. Ration. Mech. Anal. 235, No. 3, 1467-1530 (2020). MSC: 35Q31 76B47 35B65 PDF BibTeX XML Cite \textit{J. Davila} et al., Arch. Ration. Mech. Anal. 235, No. 3, 1467--1530 (2020; Zbl 1439.35382) Full Text: DOI arXiv OpenURL
Geldhauser, Carina; Romito, Marco The point vortex model for the Euler equation. (English) Zbl 1484.76054 AIMS Math. 4, No. 3, 534-575 (2019). MSC: 76M23 35Q31 35Q35 60F05 60F10 82C22 76B47 PDF BibTeX XML Cite \textit{C. Geldhauser} and \textit{M. Romito}, AIMS Math. 4, No. 3, 534--575 (2019; Zbl 1484.76054) Full Text: DOI OpenURL
Sakajo, Takashi Vortex crystals on the surface of a torus. (English) Zbl 1462.76034 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2158, Article ID 20180344, 17 p. (2019). MSC: 76B47 74A05 PDF BibTeX XML Cite \textit{T. Sakajo}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2158, Article ID 20180344, 17 p. (2019; Zbl 1462.76034) Full Text: DOI Link OpenURL
Gustafsson, Björn Vortex motion and geometric function theory: the role of connections. (English) Zbl 1462.70010 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2158, Article ID 20180341, 27 p. (2019). MSC: 70G45 76B47 PDF BibTeX XML Cite \textit{B. Gustafsson}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2158, Article ID 20180341, 27 p. (2019; Zbl 1462.70010) Full Text: DOI arXiv OpenURL
Gebhard, Björn; Ortega, Rafael Stability of periodic solutions of the \(N\)-vortex problem in general domains. (English) Zbl 1436.37065 Regul. Chaotic Dyn. 24, No. 6, 649-670 (2019). MSC: 37J25 37J46 37N10 PDF BibTeX XML Cite \textit{B. Gebhard} and \textit{R. Ortega}, Regul. Chaotic Dyn. 24, No. 6, 649--670 (2019; Zbl 1436.37065) Full Text: DOI arXiv OpenURL
Bonheure, Denis; Gazzola, Filippo; Sperone, Gianmarco Eight(y) mathematical questions on fluids and structures. (English) Zbl 1447.76016 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 30, No. 4, 759-815 (2019). Reviewer: Alain Brillard (Riedisheim) MSC: 76F20 35Q35 74F10 PDF BibTeX XML Cite \textit{D. Bonheure} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 30, No. 4, 759--815 (2019; Zbl 1447.76016) Full Text: DOI OpenURL
Cao, Daomin; Guo, Yuxia; Peng, Shuangjie; Yan, Shusen Local uniqueness for vortex patch problem in incompressible planar steady flow. (English. French summary) Zbl 1436.35153 J. Math. Pures Appl. (9) 131, 251-289 (2019). Reviewer: Alain Brillard (Riedisheim) MSC: 35J60 35J25 35Q05 PDF BibTeX XML Cite \textit{D. Cao} et al., J. Math. Pures Appl. (9) 131, 251--289 (2019; Zbl 1436.35153) Full Text: DOI arXiv OpenURL
Dekeyser, Justin Asymptotics of steady vortex pair in the lake equation. (Asymptotic of steady vortex pair in the lake equation.) (English) Zbl 1445.76030 SIAM J. Math. Anal. 51, No. 2, 1209-1237 (2019). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 76B47 76M45 35Q31 86A05 PDF BibTeX XML Cite \textit{J. Dekeyser}, SIAM J. Math. Anal. 51, No. 2, 1209--1237 (2019; Zbl 1445.76030) Full Text: DOI arXiv OpenURL
Cao, Daomin; Peng, Shuangjie; Yan, Shusen Regularization of planar vortices for the incompressible flow. (English) Zbl 1438.35191 Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 5, 1443-1467 (2018). MSC: 35J91 35J20 35Q35 76B47 PDF BibTeX XML Cite \textit{D. Cao} et al., Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 5, 1443--1467 (2018; Zbl 1438.35191) Full Text: DOI OpenURL
Calleja, Renato C.; Doedel, Eusebius J.; García-Azpeitia, Carlos Choreographies in the \(n\)-vortex problem. (English) Zbl 1415.37077 Regul. Chaotic Dyn. 23, No. 5, 595-612 (2018). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 37J25 34C25 37G40 47H11 54F45 76B47 70F10 PDF BibTeX XML Cite \textit{R. C. Calleja} et al., Regul. Chaotic Dyn. 23, No. 5, 595--612 (2018; Zbl 1415.37077) Full Text: DOI arXiv OpenURL
Rodrigues, Adriano Regis; Castilho, César; Koiller, Jair Vortex pairs on a triaxial ellipsoid and Kimura’s conjecture. (English) Zbl 1405.76008 J. Geom. Mech. 10, No. 2, 189-208 (2018). MSC: 76B47 34C28 53Z05 PDF BibTeX XML Cite \textit{A. R. Rodrigues} et al., J. Geom. Mech. 10, No. 2, 189--208 (2018; Zbl 1405.76008) Full Text: DOI OpenURL
Glass, Olivier; Munnier, Alexandre; Sueur, Franck Point vortex dynamics as zero-radius limit of the motion of a rigid body in an irrotational fluid. (English) Zbl 1433.70007 Invent. Math. 214, No. 1, 171-287 (2018). MSC: 70E15 35Q35 76B47 PDF BibTeX XML Cite \textit{O. Glass} et al., Invent. Math. 214, No. 1, 171--287 (2018; Zbl 1433.70007) Full Text: DOI arXiv OpenURL
Sakajo, Takashi; Shimizu, Yuuki Toroidal geometry stabilizing a latitudinal ring of point vortices on a torus. (English) Zbl 1393.76019 J. Nonlinear Sci. 28, No. 3, 1043-1077 (2018). MSC: 76B47 70F10 70H14 37J25 37J45 PDF BibTeX XML Cite \textit{T. Sakajo} and \textit{Y. Shimizu}, J. Nonlinear Sci. 28, No. 3, 1043--1077 (2018; Zbl 1393.76019) Full Text: DOI OpenURL
Zemlyanova, Anna; Manly, Ian; Handley, Demond Vortex generated fluid flows in multiply connected domains. (English) Zbl 1397.35077 Complex Var. Elliptic Equ. 63, No. 2, 151-170 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35J05 35J08 76B47 PDF BibTeX XML Cite \textit{A. Zemlyanova} et al., Complex Var. Elliptic Equ. 63, No. 2, 151--170 (2018; Zbl 1397.35077) Full Text: DOI arXiv OpenURL
Xia, X.; Mohseni, K. Unsteady aerodynamics and vortex-sheet formation of a two-dimensional airfoil. (English) Zbl 1421.76143 J. Fluid Mech. 830, 439-478 (2017). MSC: 76G25 76D05 76D17 76Z10 92C10 PDF BibTeX XML Cite \textit{X. Xia} and \textit{K. Mohseni}, J. Fluid Mech. 830, 439--478 (2017; Zbl 1421.76143) Full Text: DOI arXiv OpenURL
Sokolov, Sergei V.; Ryabov, Pavel E. Bifurcation analysis of the dynamics of two vortices in a Bose-Einstein condensate. the case of intensities of opposite signs. (English) Zbl 1433.70006 Regul. Chaotic Dyn. 22, No. 8, 976-995 (2017). MSC: 70E05 37J35 34C23 PDF BibTeX XML Cite \textit{S. V. Sokolov} and \textit{P. E. Ryabov}, Regul. Chaotic Dyn. 22, No. 8, 976--995 (2017; Zbl 1433.70006) Full Text: DOI OpenURL
Sueur, Franck Motion of a particle immersed in a two dimensional incompressible perfect fluid and point vortex dynamics. (English) Zbl 1387.35479 Bodnár, Tomáš (ed.) et al., Particles in flows. Based on the summer course and workshop, Prague, Czech Republic, August 2014. Cham: Birkhäuser/Springer (ISBN 978-3-319-60281-3/hbk; 978-3-319-60282-0/ebook). Advances in Mathematical Fluid Mechanics, 139-216 (2017). MSC: 35Q31 35Q35 35Q70 76D99 34E05 34E15 70E99 PDF BibTeX XML Cite \textit{F. Sueur}, in: Particles in flows. Based on the summer course and workshop, Prague, Czech Republic, August 2014. Cham: Birkhäuser/Springer. 139--216 (2017; Zbl 1387.35479) Full Text: DOI arXiv OpenURL
Esler, J. G. Statistics of point vortex turbulence in non-neutral flows and in flows with translational and rotational symmetries. (English) Zbl 1382.82023 J. Stat. Phys. 169, No. 6, 1045-1065 (2017). MSC: 82C10 76F02 76F55 76F65 76U05 76Y05 PDF BibTeX XML Cite \textit{J. G. Esler}, J. Stat. Phys. 169, No. 6, 1045--1065 (2017; Zbl 1382.82023) Full Text: DOI Link OpenURL
Bartsch, Thomas; Gebhard, Björn Global continua of periodic solutions of singular first-order Hamiltonian systems of \(N\)-vortex type. (English) Zbl 1380.37120 Math. Ann. 369, No. 1-2, 627-651 (2017). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J45 37N10 76B47 PDF BibTeX XML Cite \textit{T. Bartsch} and \textit{B. Gebhard}, Math. Ann. 369, No. 1--2, 627--651 (2017; Zbl 1380.37120) Full Text: DOI arXiv OpenURL
Ewerz, Carlo; Gasenzer, Thomas; Karl, Markus; Samberg, Andreas Non-thermal fixed point in a holographic superfluid. (English) Zbl 1388.83234 J. High Energy Phys. 2015, No. 5, Paper No. 70, 36 p. (2015). MSC: 83C47 PDF BibTeX XML Cite \textit{C. Ewerz} et al., J. High Energy Phys. 2015, No. 5, Paper No. 70, 36 p. (2015; Zbl 1388.83234) Full Text: DOI arXiv OpenURL
Esler, J. G.; Ashbee, T. L. Universal statistics of point vortex turbulence. (English) Zbl 1360.76093 J. Fluid Mech. 779, 275-308 (2015). MSC: 76F02 76F55 76D17 PDF BibTeX XML Cite \textit{J. G. Esler} and \textit{T. L. Ashbee}, J. Fluid Mech. 779, 275--308 (2015; Zbl 1360.76093) Full Text: DOI Link OpenURL
Boatto, Stefanella; Koiller, Jair Vortices on closed surfaces. (English) Zbl 1402.76034 Chang, Dong Eui (ed.) et al., Geometry, mechanics, and dynamics. The legacy of Jerry Marsden. Selected papers presented at a focus program, Fields Institute for Research in Mathematical Sciences, Toronto, Canada, July 2012. New York, NY: Springer (ISBN 978-1-4939-2440-0/hbk; 978-1-4939-2441-7/ebook). Fields Institute Communications 73, 185-237 (2015). MSC: 76B47 53D20 PDF BibTeX XML Cite \textit{S. Boatto} and \textit{J. Koiller}, Fields Inst. Commun. 73, 185--237 (2015; Zbl 1402.76034) Full Text: DOI arXiv OpenURL
Ambrose, David M.; Kelliher, James P.; Lopes Filho, Milton C.; Nussenzveig Lopes, Helena J. Serfati solutions to the 2D Euler equations on exterior domains. (English) Zbl 1321.35144 J. Differ. Equations 259, No. 9, 4509-4560 (2015). MSC: 35Q31 76B03 35D30 PDF BibTeX XML Cite \textit{D. M. Ambrose} et al., J. Differ. Equations 259, No. 9, 4509--4560 (2015; Zbl 1321.35144) Full Text: DOI arXiv OpenURL
Nasser, Mohamed M. S.; Sakajo, Takashi; Murid, Ali H. M.; Wei, Lee Khiy A fast computational method for potential flows in multiply connected coastal domains. (English) Zbl 1317.30009 Japan J. Ind. Appl. Math. 32, No. 1, 205-236 (2015). MSC: 30C30 76B07 86A05 76B47 PDF BibTeX XML Cite \textit{M. M. S. Nasser} et al., Japan J. Ind. Appl. Math. 32, No. 1, 205--236 (2015; Zbl 1317.30009) Full Text: DOI Link OpenURL
Cao, Daomin; Peng, Shuangjie; Yan, Shusen Planar vortex patch problem in incompressible steady flow. (English) Zbl 1480.35318 Adv. Math. 270, 263-301 (2015). MSC: 35Q31 35J61 35A15 35A01 76B47 35R35 PDF BibTeX XML Cite \textit{D. Cao} et al., Adv. Math. 270, 263--301 (2015; Zbl 1480.35318) Full Text: DOI OpenURL
Johnson, E. R.; Grimshaw, R. H. J. Geostrophic adjustment in a closed basin with islands. (English) Zbl 1327.76047 J. Fluid Mech. 738, 358-377 (2014). MSC: 76B70 76U05 PDF BibTeX XML Cite \textit{E. R. Johnson} and \textit{R. H. J. Grimshaw}, J. Fluid Mech. 738, 358--377 (2014; Zbl 1327.76047) Full Text: DOI Link OpenURL
Cao, Daomin; Liu, Zhongyuan; Wei, Juncheng Regularization of point vortices pairs for the Euler equation in dimension two. (English) Zbl 1293.35223 Arch. Ration. Mech. Anal. 212, No. 1, 179-217 (2014). MSC: 35Q31 76B47 35B65 PDF BibTeX XML Cite \textit{D. Cao} et al., Arch. Ration. Mech. Anal. 212, No. 1, 179--217 (2014; Zbl 1293.35223) Full Text: DOI arXiv OpenURL
Weißmann, Steffen Hamiltonian dynamics of several rigid bodies interacting with point vortices. (English) Zbl 1291.76074 J. Nonlinear Sci. 24, No. 2, 359-382 (2014). MSC: 76B47 53D20 PDF BibTeX XML Cite \textit{S. Weißmann}, J. Nonlinear Sci. 24, No. 2, 359--382 (2014; Zbl 1291.76074) Full Text: DOI arXiv OpenURL
Ashbee, T. L.; Esler, J. G.; McDonald, N. R. Generalized Hamiltonian point vortex dynamics on arbitrary domains using the method of fundamental solutions. (English) Zbl 1349.76582 J. Comput. Phys. 246, 289-303 (2013). MSC: 76M25 65M80 76D17 76F20 PDF BibTeX XML Cite \textit{T. L. Ashbee} et al., J. Comput. Phys. 246, 289--303 (2013; Zbl 1349.76582) Full Text: DOI OpenURL
Sakajo, Takashi Fixed equilibria of point vortices in symmetric multiply connected domains. (English) Zbl 1387.76019 Physica D 241, No. 5, 583-599 (2012). MSC: 76B47 76M40 PDF BibTeX XML Cite \textit{T. Sakajo}, Physica D 241, No. 5, 583--599 (2012; Zbl 1387.76019) Full Text: DOI Link OpenURL
Ysasi, Adam; Kanso, Eva; Newton, Paul K. Wake structure of a deformable Joukowski airfoil. (English) Zbl 1398.76023 Physica D 240, No. 20, 1574-1582 (2011). MSC: 76B10 76B47 74F10 92C10 PDF BibTeX XML Cite \textit{A. Ysasi} et al., Physica D 240, No. 20, 1574--1582 (2011; Zbl 1398.76023) Full Text: DOI OpenURL
Smets, Didier; Van Schaftingen, Jean Desingularization of vortices for the Euler equation. (English) Zbl 1228.35171 Arch. Ration. Mech. Anal. 198, No. 3, 869-925 (2010). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q31 76B47 PDF BibTeX XML Cite \textit{D. Smets} and \textit{J. Van Schaftingen}, Arch. Ration. Mech. Anal. 198, No. 3, 869--925 (2010; Zbl 1228.35171) Full Text: DOI arXiv OpenURL
Gned, Irene; Telib, Haysam; Zannetti, Luca Conformal contour dynamics in bounded domains. (English) Zbl 1196.76072 Eur. J. Mech., B, Fluids 29, No. 5, 369-376 (2010). MSC: 76M40 76B47 PDF BibTeX XML Cite \textit{I. Gned} et al., Eur. J. Mech., B, Fluids 29, No. 5, 369--376 (2010; Zbl 1196.76072) Full Text: DOI OpenURL
Crowdy, Darren A new calculus for two-dimensional vortex dynamics. (English) Zbl 1191.76020 Theor. Comput. Fluid Dyn. 24, No. 1-4, 9-24 (2010). MSC: 76B47 76M40 PDF BibTeX XML Cite \textit{D. Crowdy}, Theor. Comput. Fluid Dyn. 24, No. 1--4, 9--24 (2010; Zbl 1191.76020) Full Text: DOI OpenURL
Lopes Filho, Milton da Costa; Nussenzveig Lopes, Helena J. Vortex dynamics on a domain with holes. (English) Zbl 1191.76025 Theor. Comput. Fluid Dyn. 24, No. 1-4, 51-57 (2010). MSC: 76B47 PDF BibTeX XML Cite \textit{M. da C. Lopes Filho} and \textit{H. J. Nussenzveig Lopes}, Theor. Comput. Fluid Dyn. 24, No. 1--4, 51--57 (2010; Zbl 1191.76025) Full Text: DOI OpenURL
Michelin, Sébastien; Llewellyn Smith, Stefan G. An unsteady point vortex method for coupled fluid-solid problems. (English) Zbl 1234.76043 Theor. Comput. Fluid Dyn. 23, No. 2, 127-153 (2009). MSC: 76M23 76M40 76B10 70E99 PDF BibTeX XML Cite \textit{S. Michelin} and \textit{S. G. Llewellyn Smith}, Theor. Comput. Fluid Dyn. 23, No. 2, 127--153 (2009; Zbl 1234.76043) Full Text: DOI OpenURL
Sakajo, Takashi Equation of motion for point vortices in multiply connected circular domains. (English) Zbl 1186.37100 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2108, 2589-2611 (2009). MSC: 37N10 76B47 PDF BibTeX XML Cite \textit{T. Sakajo}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2108, 2589--2611 (2009; Zbl 1186.37100) Full Text: DOI Link Link OpenURL
Tian, Zhongwei; Wu, Ziniu A study of two-dimensional flow past regular polygons via conformal mapping. (English) Zbl 1181.76034 J. Fluid Mech. 628, 121-154 (2009). MSC: 76B10 76D99 76M40 PDF BibTeX XML Cite \textit{Z. Tian} and \textit{Z. Wu}, J. Fluid Mech. 628, 121--154 (2009; Zbl 1181.76034) Full Text: DOI OpenURL
Zannetti, L.; Gallizio, F.; Ottino, G. M. Vortex motion in doubly connected domains. (English) Zbl 1151.76406 J. Fluid Mech. 612, 143-152 (2008). MSC: 76B47 76B10 PDF BibTeX XML Cite \textit{L. Zannetti} et al., J. Fluid Mech. 612, 143--152 (2008; Zbl 1151.76406) Full Text: DOI OpenURL
Surana, Amit; Crowdy, Darren Vortex dynamics in complex domains on a spherical surface. (English) Zbl 1142.76043 J. Comput. Phys. 227, No. 12, 6058-6070 (2008). MSC: 76M25 76B47 PDF BibTeX XML Cite \textit{A. Surana} and \textit{D. Crowdy}, J. Comput. Phys. 227, No. 12, 6058--6070 (2008; Zbl 1142.76043) Full Text: DOI OpenURL
Kanso, Eva; Oskouei, Babak Ghaemi Stability of a coupled body-vortex system. (English) Zbl 1151.76493 J. Fluid Mech. 600, 77-94 (2008). MSC: 76E99 76B47 70E50 PDF BibTeX XML Cite \textit{E. Kanso} and \textit{B. G. Oskouei}, J. Fluid Mech. 600, 77--94 (2008; Zbl 1151.76493) Full Text: DOI OpenURL
Borisov, Alexey V.; Mamaev, Ivan S.; Ramodanov, Sergey M. Dynamic interaction of point vortices and a two-dimensional cylinder. (English) Zbl 1144.81318 J. Math. Phys. 48, No. 6, 065403, 9 p. (2007). MSC: 76B47 37J05 37N10 76M40 PDF BibTeX XML Cite \textit{A. V. Borisov} et al., J. Math. Phys. 48, No. 6, 065403, 9 p. (2007; Zbl 1144.81318) Full Text: DOI Link OpenURL
Aref, Hassan Point vortex dynamics: a classical mathematics playground. (English) Zbl 1144.81308 J. Math. Phys. 48, No. 6, 065401, 23 p. (2007). MSC: 76B47 37J35 37N10 70F10 PDF BibTeX XML Cite \textit{H. Aref}, J. Math. Phys. 48, No. 6, 065401, 23 p. (2007; Zbl 1144.81308) Full Text: DOI Link OpenURL
Crowdy, Darren; Surana, Amit Contour dynamics in complex domains. (English) Zbl 1128.76014 J. Fluid Mech. 593, 235-254 (2007). MSC: 76B47 76M40 PDF BibTeX XML Cite \textit{D. Crowdy} and \textit{A. Surana}, J. Fluid Mech. 593, 235--254 (2007; Zbl 1128.76014) Full Text: DOI OpenURL
Eyink, Gregory L.; Sreenivasan, Katepalli R. Onsager and the theory of hydrodynamic turbulence. (English) Zbl 1205.01032 Rev. Mod. Phys. 78, No. 1, 87-135 (2006). MSC: 01A70 01A60 76-03 76F02 76F55 82-03 PDF BibTeX XML Cite \textit{G. L. Eyink} and \textit{K. R. Sreenivasan}, Rev. Mod. Phys. 78, No. 1, 87--135 (2006; Zbl 1205.01032) Full Text: DOI OpenURL
Shashikanth, Banavara N. Symmetric pairs of point vortices interacting with a neutrally buoyant two-dimensional circular cylinder. (English) Zbl 1146.76534 Phys. Fluids 18, No. 12, 127103, 17 p. (2006). MSC: 76-XX PDF BibTeX XML Cite \textit{B. N. Shashikanth}, Phys. Fluids 18, No. 12, 127103, 17 p. (2006; Zbl 1146.76534) Full Text: DOI OpenURL
Crowdy, Darren Point vortex motion on the surface of a sphere with impenetrable boundaries. (English) Zbl 1185.76474 Phys. Fluids 18, No. 3, Art. 036602, 7p. (2006). MSC: 76B47 76M40 PDF BibTeX XML Cite \textit{D. Crowdy}, Phys. Fluids 18, No. 3, Art. 036602, 7p. (2006; Zbl 1185.76474) Full Text: DOI Link OpenURL
Crowdy, Darren G.; Marshall, Jonathan S. The motion of a point vortex around multiple circular islands. (English) Zbl 1187.76108 Phys. Fluids 17, No. 5, Paper No. 056602, 13 p. (2005). MSC: 76-XX PDF BibTeX XML Cite \textit{D. G. Crowdy} and \textit{J. S. Marshall}, Phys. Fluids 17, No. 5, Paper No. 056602, 13 p. (2005; Zbl 1187.76108) Full Text: DOI Link OpenURL
Shashikanth, Banavara N.; Mardsen, Jerrold E.; Burdick, Joel W.; Kelly, Scott D. The Hamiltonian structure of a two-dimensional rigid circular cylinder interacting dynamically with \(N\) point vortices. (English) Zbl 1185.76481 Phys. Fluids 14, No. 3, 1214-1227 (2002). MSC: 76B47 37J99 37N10 70E99 76E30 PDF BibTeX XML Cite \textit{B. N. Shashikanth} et al., Phys. Fluids 14, No. 3, 1214--1227 (2002; Zbl 1185.76481) Full Text: DOI OpenURL
Kidambi, R.; Newton, P. K. Point vortex motion on a sphere with solid boundaries. (English) Zbl 1149.76432 Phys. Fluids 12, No. 3, 581-588 (2000). MSC: 76-XX PDF BibTeX XML Cite \textit{R. Kidambi} and \textit{P. K. Newton}, Phys. Fluids 12, No. 3, 581--588 (2000; Zbl 1149.76432) Full Text: DOI OpenURL
Grotta Ragazzo, C.; Koiller, J.; Oliva, W. M. On the motion of two-dimensional vortices with mass. (English) Zbl 0808.76015 J. Nonlinear Sci. 4, No. 5, 375-418 (1994). MSC: 76B47 34L40 37J99 PDF BibTeX XML Cite \textit{C. Grotta Ragazzo} et al., J. Nonlinear Sci. 4, No. 5, 375--418 (1994; Zbl 0808.76015) Full Text: DOI OpenURL
Zannetti, Luca; Franzese, Pasquale The non-integrability of the restricted problem of two vortices in closed domains. (English) Zbl 1194.76030 Physica D 76, No. 1-3, 99-109 (1994). MSC: 76B47 37N10 PDF BibTeX XML Cite \textit{L. Zannetti} and \textit{P. Franzese}, Physica D 76, No. 1--3, 99--109 (1994; Zbl 1194.76030) Full Text: DOI OpenURL
Kadtke, James B.; Novikov, Evgeny A. Chaotic capture of vortices by a moving body. I: The single point vortex case. (English) Zbl 1055.76506 Chaos 3, No. 4, 543-553 (1993). MSC: 76B47 37N10 76F20 76G25 PDF BibTeX XML Cite \textit{J. B. Kadtke} and \textit{E. A. Novikov}, Chaos 3, No. 4, 543--553 (1993; Zbl 1055.76506) Full Text: DOI OpenURL
Wan, Yieh-Hei Desingularizations of systems of point vortices. (English) Zbl 0669.76040 Physica D 32, No. 2, 277-295 (1988). MSC: 76B47 35Q99 PDF BibTeX XML Cite \textit{Y.-H. Wan}, Physica D 32, No. 2, 277--295 (1988; Zbl 0669.76040) Full Text: DOI OpenURL