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Volume 58, Issue 3
A Note on the Global Existence for the Strong Solution of the Stochastic Three-Dimensional Axially Symmetric Euler Equations

Lihuai Du, Jinbo Geng & Haoyong Zhou

DOI: 10.4208/jms.v58n3.25.09

J. Math. Study, 58 (2025), pp. 407-416.

Published online: 2025-09

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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.

  • Keywords

Stochastic Euler equation, axially symmetric, pathwise solution, global existence.

  • AMS Subject Headings

35Q35, 60H15, 76B03

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JMS-58-407, author = {Du , LihuaiGeng , Jinbo and Zhou , Haoyong}, title = {A Note on the Global Existence for the Strong Solution of the Stochastic Three-Dimensional Axially Symmetric Euler Equations}, journal = {Journal of Mathematical Study}, year = {2025}, volume = {58}, number = {3}, pages = {407--416}, 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.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v58n3.25.09}, url = {http://global-sci.org/intro/article_detail/jms/24415.html} }
TY - JOUR T1 - A Note on the Global Existence for the Strong Solution of the Stochastic Three-Dimensional Axially Symmetric Euler Equations AU - Du , Lihuai AU - Geng , Jinbo AU - Zhou , Haoyong JO - Journal of Mathematical Study VL - 3 SP - 407 EP - 416 PY - 2025 DA - 2025/09 SN - 58 DO - http://doi.org/10.4208/jms.v58n3.25.09 UR - https://global-sci.org/intro/article_detail/jms/24415.html KW - Stochastic Euler equation, axially symmetric, pathwise solution, global existence. AB -

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.

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