×

Waves generated on an ice cover by a source pulsating in fluid. (English. Russian original) Zbl 1272.76062

Fluid Dyn. 48, No. 3, 303-309 (2013); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2013, No. 3, 24-30 (2013).
Summary: A point source of variable intensity located at rest in a plane infinitely deep fluid layer under an ice cover is considered. The general expression for perturbations of the fluid-ice interface is obtained. In the case of the long operation in the pulsating regime the wave established on the ice cover is found.

MSC:

76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
86A40 Glaciology
86A05 Hydrology, hydrography, oceanography
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] A.T. Il’ichev, Solitary Waves in Hydrodynamics Models (Fizmatlit, Moscow, 2003) [in Russian].
[2] H. Lamb, Hydrodynamics (Cambridge Univ. Press, Cambridge, 1932; Gostekhizdat, Moscow, Leningrad, 1947).
[3] N.E. Kochin, I.A. Kibel’, and N.V. Roze, Theoretical Hydrodynamics, Vol. 1 (Gostekhizdat, Leningrad, Moscow, 1948) [in Russian].
[4] N.E. Kochin, ”Wave Drag and Lift of Submerged Bodies,” in: N.E. Kochin, Collected Works, Vol. 2 (USSR Academy of Sciences, Moscow, Leningrad, 1949) [in Russian], pp. 105–182.
[5] M.V. Keldysh and M.A. Lavrent’ev, ”Wing Motion above the Surface of a Heavy Fluid,” in: M.V. Keldysh, Selected Works. Mechanics (Nauka, Moscow, 1985) [in Russian], pp. 120–151.
[6] M.V. Keldysh, ”Notes on Certain Motions of Heavy Fluids,” in: M.V. Keldysh, Selected Works. Mechanics (Nauka, Moscow, 1985) [in Russian], pp. 100–103.
[7] L.N. Sretenskii, Theory of Wave Motions of Fluids (Nauka, Moscow, 1977) [in Russian].
[8] L.M. Milne-Thomson, Theoretical Hydrodynamics (Macmillian, New York, 1950; Mir, Moscow, 1964). · Zbl 0164.55802
[9] R.G. Chowdhury and B.N. Mandal, ”Motion due to Fundamental Singularities in Finite DepthWater with an Elastic Solid Cover,” Fluid Dynam. Res. 38, No. 4, 224–240 (2006). · Zbl 1135.76012
[10] D.Q. Lu and S.Q. Dai, ”Generation of Transient Waves by Impulsive Disturbances in an Inviscid Fluid with an Ice-Cover,” Arch. Appl. Mech. 76, No. 1–2, 49–63 (2006). · Zbl 1161.76441
[11] D.Q. Lu and S.Q. Dai, ”Flexural- and Capillary-Gravity Waves due to Fundamental Singularities in an Inviscid Fluid of Finite Depth,” Int. J. Eng. Sci. 46, No. 11, 1183–1193 (2008). · Zbl 1213.76069
[12] A.A. Savin and A.S. Savin, ”Ice Cover Perturbations by a Dipole in Motion within a Liquid,” Fluid Dynamics 47, No. 2, 139–146 (2012). · Zbl 1242.76021
[13] A.T. Il’ichev, A.A. Savin, and A.S. Savin, ”Establishment of a Wave on an Ice Cover above a Dipole Traveling in Fluid,” Dokl. Ros. Akad. Nauk 444, No. 2, 156–159 (2012).
[14] A.S. Savin, ”Establishment of Surface Waves Generated by Hydrodynamic Singularities in Plane Flow,” Fluid Dynamics 37, No. 3, 421–424 (2002). · Zbl 1161.76402
[15] A.T. Il’ichev and A.S. Savin, ”On the Process of Establishment of SurfaceWaves in Plane Flow,” Fluid Dynamics 39, No. 4, 574–581 (2004). · Zbl 1184.76627
[16] V.S. Vladimirov, Distributions in Mathematical Physics (Nauka, Moscow, 1976) [in Russian]. · Zbl 0524.46023
[17] W. Kecs and P. Teodoresku, Introducere in Teoria Distributitor cu Applicatii in Tehnica (Editure Tehnica, Bucharest, 1975; Mir, Moscow, 1978).
[18] M.A. Lavrent’ev and B.V. Shabat,Methods of Theory of Functions of a Complex Variable (Nauka, Moscow, 1987) [in Russian].
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.