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
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.
fluid under ice cover, dipole, establishing wave.
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Theoretical and Mathematical Physics, 2017, 193:3, 1801–1810
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
\by A.~T.~Il'ichev, A.~S.~Savin
\paper Process of establishing a~plane-wave system on ice cover over a~dipole moving uniformly in an~ideal fluid column
\jour Theoret. and Math. Phys.
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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
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