The Fluctuation Behaviour of the Stochastic Point Vortex Model with Common Noise
Shao Y, Zhao X (2026)
Potential Analysis 64(4): 62.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Shao, Yufei;
Zhao, XianliangUniBi
Einrichtung
Abstract / Bemerkung
This article studies the fluctuation behaviour of the stochastic point vortex model with common noise. Using the martingale method combined with a localization argument, we prove that the sequence of fluctuation processes converges in distribution to the unique probabilistically strong solution of a linear stochastic evolution equation. In particular, we establish the strong convergence from the stochastic point vortex model to the conditional McKean-Vlasov equation.
Stichworte
Interacting particle system;
Fluctuation;
Biot-Savart kernel;
Environmental noise
Erscheinungsjahr
2026
Zeitschriftentitel
Potential Analysis
Band
64
Ausgabe
4
Art.-Nr.
62
ISSN
0926-2601
eISSN
1572-929X
Page URI
https://pub.uni-bielefeld.de/record/3016276
Zitieren
Shao Y, Zhao X. The Fluctuation Behaviour of the Stochastic Point Vortex Model with Common Noise. Potential Analysis . 2026;64(4): 62.
Shao, Y., & Zhao, X. (2026). The Fluctuation Behaviour of the Stochastic Point Vortex Model with Common Noise. Potential Analysis , 64(4), 62. https://doi.org/10.1007/s11118-026-10302-y
Shao, Yufei, and Zhao, Xianliang. 2026. “The Fluctuation Behaviour of the Stochastic Point Vortex Model with Common Noise”. Potential Analysis 64 (4): 62.
Shao, Y., and Zhao, X. (2026). The Fluctuation Behaviour of the Stochastic Point Vortex Model with Common Noise. Potential Analysis 64:62.
Shao, Y., & Zhao, X., 2026. The Fluctuation Behaviour of the Stochastic Point Vortex Model with Common Noise. Potential Analysis , 64(4): 62.
Y. Shao and X. Zhao, “The Fluctuation Behaviour of the Stochastic Point Vortex Model with Common Noise”, Potential Analysis , vol. 64, 2026, : 62.
Shao, Y., Zhao, X.: The Fluctuation Behaviour of the Stochastic Point Vortex Model with Common Noise. Potential Analysis . 64, : 62 (2026).
Shao, Yufei, and Zhao, Xianliang. “The Fluctuation Behaviour of the Stochastic Point Vortex Model with Common Noise”. Potential Analysis 64.4 (2026): 62.
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