Geodesic
Solution of two dual problems of gluing vorter and potential flows by M.\,A.~Goldshtick variational method
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 3, pp. 320-331

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A general problem of motion of incompressible liquid with vortex zones with different constant vorticity is formulated. It is considered the M. A. Goldshtic variational method of the research of dual problems for flows with vortex and potential areas that describe the model of separated flows and the model of ideal liquid motion in a field of Coriolis forces. It is proved the existence of the second nontrivial solution to the M. A. Goldshtick problem.
Keywords: vortex and potential flows, variational method, Green's function, extremum of the functional. 
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     author = {Isaak I. Vainshtein},
     title = {Solution of two dual problems of gluing vorter and potential flows by {M.\,A.~Goldshtick} variational method},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {320--331},
     publisher = {mathdoc},
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     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2011_4_3_a5/}
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Isaak I. Vainshtein. Solution of two dual problems of gluing vorter and potential flows by M.\,A.~Goldshtick variational method. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 3, pp. 320-331. http://geodesic.mathdoc.fr/item/JSFU_2011_4_3_a5/