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A Variational Problem for Steady Vortices in a Shear Flow Past an Obstacle

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Journal of Computational Analysis and Applications

Abstract

We prove existence of maximizers for a variational problem for a steady vortex anomaly of bounded extent in a shear flow, past an obstacle, in a planar exterior domain. Kinetic energy is maximized subject to the vorticity being a rearrangement of a prescribed function.

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Authors and Affiliations

  1. Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran

    Behrouz Emamizadeh

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  1. Behrouz Emamizadeh
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Emamizadeh, B. A Variational Problem for Steady Vortices in a Shear Flow Past an Obstacle. Journal of Computational Analysis and Applications 5, 399–411 (2003). https://doi.org/10.1023/A:1024569231425

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  • DOI: https://doi.org/10.1023/A:1024569231425

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