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Article
The Effect of Shear on the Generation of Gravity Waves
Nonlinear Processes in Geophysics
  • Mayer Humi, Worcester Polytechnic Institute
Document Type
Article
Publication Date
3-25-2010
Disciplines
Abstract

Previous research regarding the solutions of Long's equation always presumed that the flow far upstream is without shear. In this paper we derive the proper form of this equation when shear is present. We then apply a sequence of transformations to this equation which make it possible to linearize it while preserving its physical contents. We then derive conditions under which the solutions of this linear equation admit the existence (or creation) of gravity waves. We present also a solution of this model equation when the presence of shear in the overall flow is 'small'.

DOI
10.5194/npg-17-201-2010
Publisher Statement
An edited version of this paper was published by AGU. Copyright 2010 American Geophysical Union.
Citation Information
Mayer Humi. "The Effect of Shear on the Generation of Gravity Waves" Nonlinear Processes in Geophysics Vol. 17 Iss. 2 (2010) p. 201 - 210
Available at: http://works.bepress.com/mayer_humi/6/