The motion of elliptic cylinder under free surface

V. K. Kostikov, N. I. Makarenko

Research output: Contribution to journalConference articlepeer-review

5 Citations (Scopus)


A problem on generation of unsteady nonlinear waves on the surface of an infinitely deep ideal fluid due to the motion of a submerged elliptical cylinder is considered. It is supposed that the cylinder can rotate in addition to translational two-dimensional motion. The initial formulation of the problem is reduced to an integrodifferential system of equations for the functions defining the free surface shape, the normal and tangential components of velocity on the free boundary. The small-time asymptotics of the solution is constructed in the case of the cylinder that moves with a constant acceleration from rest.

Original languageEnglish
Article number012021
JournalJournal of Physics: Conference Series
Issue number1
Publication statusPublished - 16 Jun 2016
Externally publishedYes
EventAll-Russian Conference on Nonlinear Waves: Theory and New Applications, Wave 2016 - Novosibirsk, Russian Federation
Duration: 29 Feb 20162 Mar 2016


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