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Random splitting of point vortex flows

Publication ,  Journal Article
Agazzi, A; Grotto, F; Mattingly, JC
Published in: Electronic Communications in Probability
January 1, 2024

We consider a stochastic version of the point vortex system, in which the fluid velocity advects single vortices intermittently for small random times. Such system converges to the deterministic point vortex dynamics as the rate at which single components of the vector field are randomly switched diverges, and therefore it provides an alternative discretization of 2D Euler equations. The random vortex system we introduce preserves microcanonical statistical ensembles of the point vortex system, hence constituting a simpler alternative to the latter in the statistical mechanics approach to 2D turbulence.

Duke Scholars

Published In

Electronic Communications in Probability

DOI

EISSN

1083-589X

Publication Date

January 1, 2024

Volume

29

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 0104 Statistics
 

Citation

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Agazzi, A., Grotto, F., & Mattingly, J. C. (2024). Random splitting of point vortex flows. Electronic Communications in Probability, 29. https://doi.org/10.1214/24-ECP594
Agazzi, A., F. Grotto, and J. C. Mattingly. “Random splitting of point vortex flows.” Electronic Communications in Probability 29 (January 1, 2024). https://doi.org/10.1214/24-ECP594.
Agazzi A, Grotto F, Mattingly JC. Random splitting of point vortex flows. Electronic Communications in Probability. 2024 Jan 1;29.
Agazzi, A., et al. “Random splitting of point vortex flows.” Electronic Communications in Probability, vol. 29, Jan. 2024. Scopus, doi:10.1214/24-ECP594.
Agazzi A, Grotto F, Mattingly JC. Random splitting of point vortex flows. Electronic Communications in Probability. 2024 Jan 1;29.

Published In

Electronic Communications in Probability

DOI

EISSN

1083-589X

Publication Date

January 1, 2024

Volume

29

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 0104 Statistics