Steady vortex flows obtained from a constrained variational problem

B. Emamizadeh; M. H. Mehrabi

doi:10.1155/S0161171202008098

Steady vortex flows obtained from a constrained variational problem

B. Emamizadeh, M. H. Mehrabi

Research output: Journal Publication › Article › peer-review

4 Citations (Scopus)

Abstract

We prove the existence of steady two-dimensional ideal vortex flows occupying the first quadrant and containing a bounded vortex; this is done by solving a constrained variational problem. Kinetic energy is maximized subject to the vorticity, being a rearrangement of a prescribed function and subject to a linear constraint.

Original language	English
Pages (from-to)	283-300
Number of pages	18
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	30
Issue number	5
DOIs	https://doi.org/10.1155/S0161171202008098
Publication status	Published - 2002
Externally published	Yes

ASJC Scopus subject areas

Mathematics (miscellaneous)

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abstract = "We prove the existence of steady two-dimensional ideal vortex flows occupying the first quadrant and containing a bounded vortex; this is done by solving a constrained variational problem. Kinetic energy is maximized subject to the vorticity, being a rearrangement of a prescribed function and subject to a linear constraint.",

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AB - We prove the existence of steady two-dimensional ideal vortex flows occupying the first quadrant and containing a bounded vortex; this is done by solving a constrained variational problem. Kinetic energy is maximized subject to the vorticity, being a rearrangement of a prescribed function and subject to a linear constraint.

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DO - 10.1155/S0161171202008098

M3 - Article

AN - SCOPUS:0242524821

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JO - International Journal of Mathematics and Mathematical Sciences

JF - International Journal of Mathematics and Mathematical Sciences

IS - 5

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Steady vortex flows obtained from a constrained variational problem

Abstract

ASJC Scopus subject areas

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