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Initial and boundary value problems of internal gravity waves

Published online by Cambridge University Press:  26 April 2006

Sergey T. Simakov
Sergey T. Simakov
Affiliation:
Department of Mathematics, Physical Faculty, Moscow State University, Moscow 119899, Russia
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Abstract

The paper considers the generation of Boussinesq internal waves in the framework of the Green's function method. For certain domains it is shown how to construct Green's functions using the fundamental solution of the equation. The behaviour of the solution at large times for an impulsively started monochromatic point source is studied, attention being focused on the growth rate of the oscillation amplitude on the characteristic surfaces of the steady-oscillation equation which are emitted from the point source. In addition a simple extended source is considered, for which a focusing singularity phenomenon is shown to take place.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 248 , March 1993 , pp. 55 - 65
Copyright
© 1993 Cambridge University Press

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