References
M. E. Kochin, Prikl. Mat. Mekh. 20(10), 5 (1956).
V. I. Yudovich, Mat. Sb. 64, 562 (1964).
A. V. Kazhikhov, Prikl. Mat. Mekh. 44, 947 (1980).
A. V. Kazhikhov, Din. Splosh. Sredy 47, 37 (1980).
G. V. Alekseev, Din. Splosh. Sredy 10, 5 (1972); 15, 7 (1973).
M. A. Gol’dshtik, Vortex Flows (Nauka, Novosibirsk, 1981) [in Russian].
O. Derzho and R. Grimshaw, J. Fluid Mech. 464, 217 (2002).
A. Morgulis and V. Yudovich, Chaos 12(2), 356 (2002).
V. I. Yudovich, Din. Splosh. Sredy 16, 71 (1974).
V. Yudovich, Chaos 10(3), 105 (2000).
V. I. Arnol’d, Izv. Vyssh. Uchebn. Zaved., Mat., No. 5, 3 (1966).
A. I. Shnirelman, J. Math. Phys. 1(1), 105 (1993).
G. R. Burton, Math. Ann. 276, 225 (1987).
G.-H. Cottet and P. Koumoutsakos, Vortex Methods: Theory and Practice (Cambridge Univ. Press, Cambridge, 1999).
A. Aubry and P. Chartier, BIT 38, 802 (1998).
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Original Russian Text © V.N. Govorukhin, A.B. Morgulis, V.I. Yudovich, 2007, published in Doklady Akademii Nauk, 2007, Vol. 412, No. 4, pp. 480–484.
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Govorukhin, V.N., Morgulis, A.B. & Yudovich, V.I. Calculation of two-dimensional flows of inviscid incompressible fluid through a rectilinear duct. Dokl. Phys. 52, 105–109 (2007). https://doi.org/10.1134/S1028335807020085
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DOI: https://doi.org/10.1134/S1028335807020085