Existence of Vortex Rings in Beltrami Flows-Reference-Cited by-同舟云学术

Existence of Vortex Rings in Beltrami Flows

Published:2022-02-16 Issue:2 Volume:391 Page:873-899
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun. Math. Phys.

Author:

Abe Ken^ORCID

Funder

Japan Society for the Promotion of Science

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://link.springer.com/content/pdf/10.1007/s00220-022-04331-y.pdf

Reference50 articles.

1. Abe, K., Choi, K.: Stability of Lamb dipoles. arXiv:1911.01795

2. Ambrosetti, A., Mancini, G.: On some free boundary problems. In: Recent Contributions to Nonlinear Partial Differential Equations, Volume 50 of Research Notes in Mathematics, pp. 24–36. Pitman, Boston, Mass.-London (1981)

3. Ambrosetti, A., Struwe, M.: Existence of steady vortex rings in an ideal fluid. Arch. Ration. Mech. Anal. 108, 97–109 (1989)

4. Amick, C.J., Fraenkel, L.E.: The uniqueness of Hill’s spherical vortex. Arch. Ration. Mech. Anal. 92, 91–119 (1986)

5. Arnold, V.I.: Mathematical Methods of Classical Mechanics, Volume 60 of Graduate Texts in Mathematics, 2nd edn. Springer, New York (1989)

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Velocity-Vorticity Geometric Constraints for the Energy Conservation of 3D Ideal Incompressible Fluids;The Journal of Geometric Analysis;2024-06-12

2. Existence of Homogeneous Euler Flows of Degree $$-\alpha \notin [-2,0]$$;Archive for Rational Mechanics and Analysis;2024-04-04

3. Monge–Ampère geometry and vortices;Nonlinearity;2024-03-12

4. Axi-symmetric solutions for active vector models generalizing 3D Euler and electron–MHD equations;Nonlinear Analysis: Real World Applications;2023-12

5. Stability of Hill's spherical vortex;Communications on Pure and Applied Mathematics;2023-07-24