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07 February 2025
 
  » arxiv » 2301.01399

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Global well-posedness of weak solutions to the incompressible Euler equations with helical symmetry in $mathbb{R}^3$
Dengjun Guo ; Lifeng Zhao ;
Date 4 Jan 2023
AbstractWe use a Lagrangian method to prove the global well-posedness of weak solutions to the three-dimensional Euler equations with helical symmetry and without helical swirl in the whole space for initial vorticity in $L^1_1 igcap L^{infty}_1(mathbb{R}^3)$. The vortex transport formula is also obtained in our article.
Source arXiv, 2301.01399
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