The dual problem to M.\,A.~Ggoldshtik problem with unbounded vorticity
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 4, pp. 515-526
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The existence and uniqueness of solutions of the dual problem to M. A. Goldshtik problem with unbounded increasing from the flow function vorticity. The solutions in the explicit form was determined on a model example for Liouville equation.
Keywords:
vortex and potential flows, integral equation, Green function
Mots-clés : Liouville equation.
Mots-clés : Liouville equation.
@article{JSFU_2012_5_4_a8,
author = {Isaak I. Vainshtein and Irina M. Fedotova},
title = {The dual problem to {M.\,A.~Ggoldshtik} problem with unbounded vorticity},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {515--526},
publisher = {mathdoc},
volume = {5},
number = {4},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JSFU_2012_5_4_a8/}
}
TY - JOUR AU - Isaak I. Vainshtein AU - Irina M. Fedotova TI - The dual problem to M.\,A.~Ggoldshtik problem with unbounded vorticity JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2012 SP - 515 EP - 526 VL - 5 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2012_5_4_a8/ LA - ru ID - JSFU_2012_5_4_a8 ER -
%0 Journal Article %A Isaak I. Vainshtein %A Irina M. Fedotova %T The dual problem to M.\,A.~Ggoldshtik problem with unbounded vorticity %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2012 %P 515-526 %V 5 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/JSFU_2012_5_4_a8/ %G ru %F JSFU_2012_5_4_a8
Isaak I. Vainshtein; Irina M. Fedotova. The dual problem to M.\,A.~Ggoldshtik problem with unbounded vorticity. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 4, pp. 515-526. http://geodesic.mathdoc.fr/item/JSFU_2012_5_4_a8/