Abstract
The theory of wave motions in a continuous media is one of the best-developed theories in classical fluid dynamics and special mathematical methods have been created for the purpose. A short review is given below Let δ(x, t)be a function of the distance x and time t and δ=ψ(x) at t = 0. Then, if at x = θ ± c t the equality
holds, this will mean that the initial profile ψ(x)moves in the positive or negative direction with velocity c preserving its shape. Evidently, a function of the type (1.1) is a solution of the one-dimensional wave equation ψ tt = c 2 ψ xx .
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Abdullah, A. S.: 1949, J. Meteorol 6, 86–97.
Abdullah, A. S.: 1955, Bull. Amer. Meteorol Soc. 36, 515–518.
Abdullah, A. S.: 1956, J.. Meteorol 13, 381–387.
Blandford, R.: 1966, Deep Sea Res. 13, 941–961.
Christie, D. R., Muirhead, K. J., and Hales, A. L.: 1978, J. Atmos. Sci. 35, 805–525.
Dobrishman, E. M.: 1977, Meteorologia i Gidrologia, No. 1, 92–103 (in Russian).
Eady, E. J.: 1949, Tellus 1, 33–52.
Kuo, H. L.: 1951, Tellus, 3, 268–284.
Matsuno, T.: 1966, J. Meteorol Soc. Jpn. 11, 44, 25–43.
Redekopp, L. G. and Weidman, P. D.: 1978, J. Atmos. Sci. 35, 790–804.
Wiin-Nielsen, A. C.: 1975, European Center for Medium-Range Weather Forecasts. Seminar, Part 1. Reading, 1-2 Sept., 139–202.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1985 D. Reidel Publishing Company
About this chapter
Cite this chapter
Panchev, S. (1985). Waves and Instabilities in the Atmosphere. In: Dynamic Meteorology. Environmental Fluid Mechanics, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5221-8_5
Download citation
DOI: https://doi.org/10.1007/978-94-009-5221-8_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8810-7
Online ISBN: 978-94-009-5221-8
eBook Packages: Springer Book Archive