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Vol 187
Pages:
113-116
Download volume:
RUS
Article

The wave motions caused by oscillations of a flat wall

Authors:
S. I. Peregudin1
S. E. Kholodova2
About authors
  • 1 — Ph.D., Dr.Sci. professor Saint Peterburg State Mining Institute (Technical University)
  • 2 — Ph.D. associate professor Saint Petersburg State University
Date submitted:
2009-09-17
Date accepted:
2009-11-21
Date published:
2010-06-25

Abstract

The research is devoted construction analytical, in particular, exact solution of a problem on movement of the electrically conducting ideal rotating liquid modeling wave movements in a liquid kernel of the Earth. Namely, the problem about radiation of waves in rotating incompressible electrically conducting liquid by the flat wall making, since the initial moment, harmonious fluctuations is considered. Such statement of a problem can serve as the first step to research of influence of heterogeneity of the liquid environment on generation and maintenance of a magnetic field of the Earth.

Область исследования:
(Archived) Applied and fundamental research in physics and mathematics
Keywords:
the electrically conducting ideal rotating liquid wave motions the magnetic field of the Earth
Go to volume 187

References

  1. Aleshkov Yu.Z. Mathematical modeling of physical processes. Saint Petersburg, 2001. 264 p.
  2. Gun’ko Yu.P., Norin A.V., Philippov B.V. Electromagnetic gas-dynamic of the plasma. Saint Petersburg, 2003. 176 p.
  3. Landau L.D., Liphshits E.M. Electrodynamics of the continuous mediums // Theoretical Physics. Moscow, 1992. Vol.8. 664 p.
  4. Kholodova S.E. Dynamics of a rotating layer of an ideal electrically conducting incompressible fluid // Journal of computational mathematics and mathematical phisics. 2008. Vol.48. N 5. P.151-167.
  5. Bullard E.C. The magnetic field withing the Earth // Proc. Roy. Soc. London Ser. A. 1949. Vol.197. P.433-453.
  6. Busse F.H. A model of the geodynamo // Geophys. J. Roy. Asron. Soc. 1975. Vol.42. P.437-459.
  7. Busse F.H. Generation of planetary by convection // Phys. Earth Planet. Inter. 1976. Vol.12. P.350-358.
  8. Elzasser W.M. Induction effects in terrestrial magnetism. Part I: Theory // Phys. Rev. 1946. Vol.69. P.106.
  9. Elzasser W.M. Induction effects in terrestrial magnetism, Part II: The secular variation // Phys. Rev. 1946. Vol.70. P.202.
  10. Zhang K.-K., Busse F.H. Finite amplitude convection and magnetic field generation in a rotating spherical shell // Geophys. Astrophys. Fluid Dyn. 1988. Vol.44. P.33-54.
  11. Zhang K.-K., Busse F.H. Convection driven magnetohydrodynamic dynamos in rotating spherical shell // Geophys. Astrophys. Fluid Dyn. 1989. Vol.49. P.97-116.
  12. Zhang K.-K., Busse F.H. Generation of magnetic fields by convection in a rotating spherical fluid shell of infinite Prandtl number // Phys. Earth Planet. Inter. 1990. Vol.59. P.208-222.

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