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International Conference on Mathematical Modeling and Scientific Computing
April 2-6, 2001
Middle East Technical University and Selcuk University
Ankara and Konya, Turkey

Organizers
F. Bornemann (Munich University of Tecnology, Germany), H. Bulgak (Selcuk University, Konya, Turkey), V. Ganzha (Munich University of Technology, Germany), B. Karasozen (METU, Ankara, Turkey), A. Sinan (Selcuk University, Konya, Turkey), C. Zenger (Munich University of Technology, Germany)

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Cappilary-gravity surface waves on a deep fluid: four dimensional bifurcation with symmetry
by
Boris Loginov
Department of Mathematics, METU, Turkey
Coauthors: Ayhan Aydin(Department of Mathematics, Kirkkale University, Turkey), Bulent Karasozen(Department of Mathematics, METU, Turkey)

These are periodical potential flows in heavy cappilary deep fluid on spatial layer with free upper boundary close to the horizontal plane z=0, bifurcating from the basic flow with constant velocity in x- direction. The statment of the work goes back to the known works of A.I. Nekrasov, T. Levi-Civita and D. Struik. In previous works, group analysis methods are used for symmetry breaking bifurcations in case of a layer with finite depth. Here a layer with infinte depth of four dimensional degeneracy of the linearized operator is investigated. We plan to apply here numerical methods and also investigate the possibility of higher degeneracies.

Date received: February 19, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagk-71.