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Steady vortex flows obtained from an inverse problem

Published online by Cambridge University Press:  17 April 2009

B. Emamizadeh  and
F. Bahrami
B. Emamizadeh
Affiliation:
Department of Mathematics, Iran University of Science and Technology, Narmak 16844, Tehran, Iran and Institute for Studies in Theoretical Physics and Mathematics, Niavaran square, Tehran, Iran
F. Bahrami
Affiliation:
Department of Mathematics, University of Tarbiat Modarres, Tehran, Iran
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In this paper we prove the existence of solutions to an inverse semilinear elliptic partial differential equation. Physically, solutions represent stream functions of steady planar flows with bounded vortices. The kinetic energy functional is maximised over the set of rearrangements of a given function.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 66 , Issue 2 , October 2002 , pp. 213 - 226
Copyright
Copyright © Australian Mathematical Society 2002

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