Информационная система "Конференции"

Computational and Informational Technologies in Science, Engineering and Education (CTMM-2008)

Almaty, Kazakhstan, September 10 — September 14, 2008

Abstracts

The analysis of conditions of a derivation of nonlinear dispersive models in wave hydrodynamics

Fedotova Z.I., Khakimzyanov G.S.

ICT SB RAS (Novosibirsk)

In the paper the assumptions for derivation of nonlinear dispersive models of the wave hydrodynamics suitable for the case of a non-stationary bottom surface is analyzed. It is shown, as on the basis of uniform approach it is possible to receive Green-Naghdi's, Zheleznyak-Pelinovsky's, and Aleshkov's models for a movable bottom. Various groups of weakly nonlinear dispersive models are considered. It is shown, that the determining differential equations of various models can be equivalent.

The work was supported by the Russian Foundation for Basic Research (06-05-64869), by the program of the State support of scientific schools of Russian Federation (931.2008.9), and by the INTAS project (06-1000013-9236)

Note. Abstracts are published in author's edition

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