Geodesic
The dual problem to M.\,A.~Goldshtik problem with arbitrary vorticity
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 4, pp. 500-506

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The existence of solutions of the dual problem to M. A. Goldshtik problem with arbitrary vorticity was proved in this paper. The effect of non-uniqueness of the solution was determined on a model example.
Keywords: vortex and potential flows, integral equation, Green function
Mots-clés : Liouville equation. 
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     title = {The dual problem to {M.\,A.~Goldshtik} problem with arbitrary vorticity},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {500--506},
     publisher = {mathdoc},
     volume = {3},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2010_3_4_a6/}
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Isaak I. Vainshtein. The dual problem to M.\,A.~Goldshtik problem with arbitrary vorticity. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 4, pp. 500-506. http://geodesic.mathdoc.fr/item/JSFU_2010_3_4_a6/