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References
H. J. Lugt, in Recent Developments in Theoretical and Experimental Fluid Dynamics, edited by U. Müller, K. G. Roesner, and B. Schmidt (Springer-Verlag, Berlin, 1979), pp. 309–321.
H. J. Lugt, Vortex Flow in Nature and Technology (Wiley-Interscience, New York, 1983).
J. C. Wu, Elements of Vorticity Aerodynamics (Tsinghua University Press, Beijing, 2005).
H. Helmholtz, J. Reine Angew. Math. 55, 25 (1858).
C. Truesdell, The Kinematics of Vorticity (Indiana University Press, Bloomington, 1954), p. 105.
H. Lamb, Hydrodynamics (Dover, New York, 1932), p. 202.
P. G. Saffman, Vortex Dynamics (Cambridge University Press, Cambridge, 1992), p. 10.
M. J. Lighthill, in Laminar Boundary Layers, edited by L. Rosenhead (Oxford University Press, Oxford, 1963), pp. 46–113.
W. M. Hicks, Philos. Trans. R. Soc. London 176, 725 (1885).
J. Z. Wu, H. Y. Ma, and M. D. Zhou, Vorticity and Vortex Dynamics (Springer, Berlin, 2006), p. 262.
Z. S. She, E. Jackson, and S. A. Orszag, Nature 344, 226 (1990).
G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, Cambridge, 1967).
L. Prandtl, in Tragflügeltheorie. I. Mitteilung: Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse (1918), pp. 451–477.
J. Lighthill, in Twentieth Century Physics, vol. II, edited by L. M. Brown, A. Pais, and B. Pippard (AIP Press, Woodbury, 1995), pp. 795–912.
A. Betz, Naturwissenschaften 37, 193 (1950).
D. W. Moore, and P. G. Saffman, Philos. Trans. R. Soc. A-Math. Phys. Eng. Sci. 272, 403 (1972).
G. K. Batchelor, J. Fluid Mech. 20, 645 (1964).
J. Z. Wu, H. Y. Ma, and M. D. Zhou, Vortical Flows (Springer, Berlin, 2015).
B. P. Epps, in 55th AIAA Aerospace Sciences Meeting, Grapevine, 2017.
D. Küchemann, J. Fluid Mech. 21, 1 (1965).
E. A. Müller, and F. Obermeier, in Vortex Motion, Proceedings of the IUTAM Symposium on Fundamental Aspects of Vortex Motion, Tokyo, Japan, 31 August-4 September 1987, edited by H. Hasimoto, and T. Kambe (North-Holland, Amsterdam, 1988), pp. 43–51.
H. K. Moffatt, S. Kida, and K. Ohkitani, J. Fluid Mech. 259, 241 (1994).
Y. Yang, and D. I. Pullin, J. Fluid Mech. 685, 146 (2011).
Y. Zhao, Y. Yang, and S. Chen, J. Fluid Mech. 793, 840 (2016).
Y. Zhao, Y. Yang, and S. Chen, J. Fluid Mech. 802, R4 (2016).
J. Z. Wu, and J. M. Wu, Adv. Appl. Mech. 32, 119 (1996).
J. Z. Wu, and J. M. Wu, Theor. Comp. Fluid Dyn. 10, 459 (1998).
J. Z. Wu, Y. T. Yang, Y. B. Luo, and C. Pozrikidis, J. Fluid Mech. 541, 371 (2005).
Y. Chen, Theoretical and Numerical Study on Vorticity Dynamics of Flow with Deformable Boundary. Dissertation for the Doctoral Degree (Fudan University, Shanghai, 2017).
H. Zhao, J. Z. Wu, and J. S. Luo, Fluid Dyn. Res. 34, 175 (2004).
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Wu, JZ. Vortex definition and “vortex criteria”. Sci. China Phys. Mech. Astron. 61, 024731 (2018). https://doi.org/10.1007/s11433-017-9120-8
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DOI: https://doi.org/10.1007/s11433-017-9120-8