A Note on the Global Existence for the Strong Solution of the Stochastic Three-Dimensional Axially Symmetric Euler Equations

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Abstract

This paper establishes the global existence of the pathwise solutions for the stochastic 3-D incompressible Euler equations with the axially symmetric initial data and axially symmetric additive noise.

Author Biographies

  • Lihuai Du

    College of Mathematics and Physics, Wenzhou University, Wenzhou 325000, China

  • Jinbo Geng

    School of Mathematical Sciences, Zhejiang Normal University, Jinhua 321000, China

  • Haoyong Zhou

    School of Mathematical Sciences, Zhejiang Normal University, Jinhua 321000, China

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DOI

10.4208/jms.v58n3.25.09

How to Cite

A Note on the Global Existence for the Strong Solution of the Stochastic Three-Dimensional Axially Symmetric Euler Equations. (2025). Journal of Mathematical Study, 58(3), 407-416. https://doi.org/10.4208/jms.v58n3.25.09