Isaak I. Vainshtein, Irina M. Fedotova, “The dual problem to M. A. Ggoldshtik problem with unbounded vorticity”, J. Sib. Fed. Univ. Math. Phys., 2012, Volume 5, Issue 4,Pages <nobr>515

The dual problem to M. A. Ggoldshtik problem with unbounded vorticity

Isaak I. Vainshtein, Irina M. Fedotova

Institute of Space and Information Technologies, Siberian Federal University, Krasnoyarsk, Russia

Abstract: 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, Liouville equation.

UDC: 517.55

Received: 01.11.2011
Received in revised form: 29.03.2012
Accepted: 10.05.2012