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Literature cited
G. K. Batchelor, Introduction to Fluid Dynamics, Cambridge University Press (1967).
D. W. Moore and P. G. Saffman, “The density of organized vortices in a turbulent mixing layer,” J. Fluid Mech.,69, 465 (1975).
A. A. Abrashkin and E. I. Yakubovich, “Plane vortex flows of perfect fluids,” Dokl. Akad. Nauk SSSR,276, 76 (1984).
H. Lamb, Hydrodynamics, Cambridge (1932).
S. A. Chaplygin, “Fluctuating cylindrical vortices,” in: Collected Works [in Russian], Gostekhizdat, Moscow-Leningrad (1948), p. 138.
S. Kida, “Motion of an elliptic vortex in a uniform shear flow,” J. Phys. Soc. Jpn.50, 3517 (1981).
G. Dim and N. Zabuskin, “Steady V states, their interaction, restoration, and breakup,” in: Solitons in Action [Russian translation], Mir, Moscow (1981), p. 289.
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 62–68, January–February, 1987.
The author thanks E. I. Yakubovich for his useful discussions and valuable remarks in the preparation of this paper for the press.
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Abrashkin, A.A. Theory of interaction between two plane vortices in a perfect fluid. Fluid Dyn 22, 53–59 (1987). https://doi.org/10.1007/BF01050849
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DOI: https://doi.org/10.1007/BF01050849