An analogy between electromagnetic and internal waves

Cover Page

Abstract


For the symmetry group of internal-wave equations, the mechanical content of invariants and symmetry transformations is determined. The performed comparison makes it possible to construct expressions for analogs of momentum, angular momentum, energy, Lorentz transformations, and other characteristics of special relativity and electro-dynamics. The expressions for the Lagrange function are defined, and the conservation laws are derived. An analogy is drawn both in the case of the absence of sources and currents in the Maxwell equations and in their presence.


About the authors

V. G. Baydulov

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences; Bauman Moscow State Technical University

Author for correspondence.
Email: baydulov@gmail.com

Russian Federation, 101, bldg. 1, Vernadskogo prospect, Moscow, 119526; 5, 2-nd Baumanskaya, Moscow, 105005

P. A. Lesovskiy

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences

Email: baydulov@gmail.com

Russian Federation, 101, bldg. 1, Vernadskogo prospect, Moscow, 119526

References

  1. Лайтхилл Дж. Волны в жидкостях. М.: Мир, 1981. 400 с.
  2. Байдулов В. Г., Чашечкин Ю. Д. Инвариантные свойства уравнений движения стратифицированных жидкостей // ДАН. 2002. Т. 387. № 6. С. 760-763.
  3. Ландау Л. Д., Лифшиц Е. М. Теоретическая физика. Т. 2. Теория поля. М.: Наука, 1988. 512 с.
  4. Макаров С. А., Неклюдов В. И., Чашечкин Ю. Д. Пространственная структура пучков двумерных монохроматических внутренних волн в экспоненциально стратифицированной жидкости // Изв. РАН. Физика атмосферы и океана. 1990. Т. 26. № 7. С. 744-754.

Statistics

Views

Abstract - 280

PDF (Russian) - 181

PlumX


Copyright (c) 2019 Russian academy of sciences

This website uses cookies

You consent to our cookies if you continue to use our website.

About Cookies