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TMF, 2017, Volume 193, Number 3, Pages 455–465 (Mi tmf9356)  

This article is cited in 1 scientific paper (total in 1 paper)

Process of establishing a plane-wave system on ice cover over a dipole moving uniformly in an ideal fluid column

A. T. Il'ichevab, A. S. Savinb

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b Bauman Moscow State Technical University, Moscow, Russia

Abstract: We consider a planar evolution problem for perturbations of the ice cover by a dipole starting its uniform rectilinear horizontal motion in a column of an initially stationary fluid. Using asymptotic Fourier analysis, we show that at supercritical velocities, waves of two types form on the water–ice interface. We describe the process of establishing these waves during the dipole motion. We assume that the fluid is ideal and incompressible and its motion is potential. The ice cover is modeled by the Kirchhoff–Love plate.

Keywords: fluid under ice cover, dipole, establishing wave.

Funding Agency Grant Number
Russian Foundation for Basic Research 15-05-06969
This research was supported by the Russian Foundation for Basic Research (Grant No. 15-05-06969).


DOI: https://doi.org/10.4213/tmf9356

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English version:
Theoretical and Mathematical Physics, 2017, 193:3, 1801–1810

Bibliographic databases:

Document Type: Article
Received: 27.02.2017
Revised: 05.04.2017

Citation: A. T. Il'ichev, A. S. Savin, “Process of establishing a plane-wave system on ice cover over a dipole moving uniformly in an ideal fluid column”, TMF, 193:3 (2017), 455–465; Theoret. and Math. Phys., 193:3 (2017), 1801–1810

Citation in format AMSBIB
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\pages 1801--1810
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. E. B. Pavelyeva, A. S. Savin, “Establishment of waves generated by a pulsating source in a finite-depth fluid”, Fluid Dyn., 53:4 (2018), 461–470  crossref  crossref  zmath  isi  elib
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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