Research article Topical Sections

The point vortex model for the Euler equation

  • Received: 10 February 2019 Accepted: 15 May 2019 Published: 29 May 2019
  • MSC : 76B47, 60F05, 82C22, 35Q31, 35Q35

  • In this article we describe the system of point vortices, derived by Helmholtz from the Euler equation, and their associated Gibbs measures. We discuss solution concepts and available results for systems of point vortices with deterministic and random circulations, and further generalizations of the point vortex model.

    Citation: Carina Geldhauser, Marco Romito. The point vortex model for the Euler equation[J]. AIMS Mathematics, 2019, 4(3): 534-575. doi: 10.3934/math.2019.3.534

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  • In this article we describe the system of point vortices, derived by Helmholtz from the Euler equation, and their associated Gibbs measures. We discuss solution concepts and available results for systems of point vortices with deterministic and random circulations, and further generalizations of the point vortex model.


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