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Existence of seamount steady vortex flows

Published online by Cambridge University Press:  17 February 2009

B. Emamizadeh  and
F. Bahrami
B. Emamizadeh
Affiliation:
Department of Mathematics, The Petroleum Institute, P.O. Box 2533, Abu Dhabi, UAE; e-mail: bemamizadeh@pi.ac.ae.
F. Bahrami
Affiliation:
Department of Mathematics, Tarbiat Modarres University, P.O. Box 14155-4838, Tehran, Iran. Current address: Department of Mathematics, Tabriz University, Tabriz, Iran; e-mail: fbahram@tabrizu.ac.ir.
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Abstract

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In this paper we will study a feature of a localised topographic flow. We will prove existence of an ideal fluid containing a bounded vortex, approaching a uniform flow at infinity and passing over a localised seamount. The domain of the fluid is the upper half-plane and the data prescribed is the rearrangement class of the vorticity field.

Type
Research Article
Information
The ANZIAM Journal , Volume 47 , Issue 1 , July 2005 , pp. 75 - 88
Copyright
Copyright © Australian Mathematical Society 2005

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