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Desingularization of vortex rings in 3 dimensional Euler flows

  • Published:2021-01 Issue: Volume:270 Page:1258-1297
  • ISSN:0022-0396
  • Container-title:Journal of Differential Equations
  • language:en
  • Short-container-title:Journal of Differential Equations

Author:

Cao Daomin,Wan Jie,Zhan Weicheng

Funder

NNSF of China

Chinese Academy of Sciences

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference51 articles.

1. On Some Free Boundary Problems. Recent Contributions to Nonlinear Partial Differential Equations;Ambrosetti,1981

2. Dual variational methods in critical point theory and applications;Ambrosetti;J. Funct. Anal.,1973

3. Existence of steady vortex rings in an ideal fluid;Ambrosetti;Arch. Ration. Mech. Anal.,1989

4. Asymptotic behaviour in planar vortex theory;Ambrosetti;Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl.,1990

5. The uniqueness of Hill's spherical vortex;Amick;Arch. Ration. Mech. Anal.,1986

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1. Desingularization of 2D elliptic free-boundary problem with non-autonomous nonlinearity;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2024-04-30

2. Vanishing viscosity limit for axisymmetric vortex rings;Inventiones mathematicae;2024-04-29

3. Remarks on orbital stability of steady vortex rings;Transactions of the American Mathematical Society;2023-02-28

4. Global solutions for the generalized SQG equation and rearrangements;Transactions of the American Mathematical Society;2023-01-04

5. Bifurcation analysis for axisymmetric capillary water waves with vorticity and swirl;Studies in Applied Mathematics;2022-08-17
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