“Behrouz Emamizadeh”

Tel:  +98 21 2290928
Fax:  +98 21 2290648

IPM Positions

Resident Researcher, School of Mathematics
(2001 - 2004 )

Research Activities

In this project we (Emamizadeh and Nycander) will investigate the existence of a two dimensional steady flow which contains a bounded vortex. The vorticity is a rearrangement of a given function, and the domain of the flow is the whole plane. Similar problems have been considered in recent years by Emamizadeh, but the novelty of the present situation is the fact that here the presence of localized seamount will cause the unavailability of standard methods known in the literature.

Our prediction is that such flow exists and the vortex is attached to the support of the seamount. This speculation has been confirmed numerically by Nycander. The case of symmetric seamounts and bounded domains have also been investigated by Emamizadeh and Mehrabi which will be reported elsewhere.


1Keywords: Rearrangements, Vorticity, Irrotational fows, Elliptic partial differential equations, Variational problem ?

Present Research Project at IPM

Variational problems for vortices attached to seamounts1

Related Papers

1. B. Emamizadeh and F. Bahrami
Existence of solutions for the Barotropic-Vorticity equation in an unbounded domain
Rocky Mountain J. Math. 36 (2007), 135-147  [abstract]
2. B. Emamizadeh
Decreasing rearrangement and a fuzzy variational problem
Appl. Math. Lett. 18 (2005), 171-178  [abstract]
3. B. Emamizadeh, F. Bahrami and M. H . Mehrabi
Steiner symmetric vortices attached to seamounts
Comm. Pure. Appl. Math. 3 (2004), 663-674  [abstract]
4. B. Emamizadeh
An inverse heat equation in two space dimensions
Appl. Math. Lett. 17 (2004), 1161-1165  [abstract]
5. J. Nycander and B. Emamizadeh
Variational problem for vortices attached to seamounts
Nonlinear Anal. 55 (2003), 15-24  [abstract]
6. B. Emamizadeh and M. H. Mehrabi
Asymptotic behaviour of the centroids of a family of vortices
J. Math. Phys. 44 (2003), 4119-4133  [abstract]
7. B. Emamizadeh and M. H. Mehrabi
Uniqueness and radial symmetry for an inverse elliptic equation
Int. J. Math. Math. Sci. 48 (2003), 3047-3052  [abstract]
8. B. Emamizadeh and F. Bahrami
Steady vortex flows obtained from an inverse problem
Bull. Aust. Math. Soc. 66 (2002), 213-226  [abstract]
9. B. Emamizadeh and M.H. Mehrabi
Steady vortex flows obtained from a constrained variational problem
Internat. J. Math. Math. Sci. 30 (2002), 283-300  [abstract]
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