ANZIAM  J.  47 (2005), 75-88

Existence of seamount steady vortex flows

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

Abstract

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.

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