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JOURNALS // Meždunarodnyj naučno-issledovatel'skij žurnal // Archive

Meždunar. nauč.-issled. žurn., 2014 Issue 4(23), Pages 72–76 (Mi irj406)

PHYSICS AND MATHEMATICS

The linear analysis of models of small water taking into account heterogeneity of the bottom

A. L. Shantyr

Volgograd State University

Abstract: The results of the linear analysis of the dynamics of small perturbations in the shallow water models are discussed. Boundary problems of Storm Liouville for Saint-Venant's equations and the modified model in approach of Boussinesq in case of a rough bottom are solved. Features of dependences of own frequency from wave number are disputed.

Keywords: model of small water, Boussinesq equation, linear analysis, the wave dispersion.



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