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math.AP2022★ 2 cited
Uniqueness and stability of steady vortex rings for 3D incompressible Euler equation
Daomin Cao, Shanfa Lai, Guolin Qin +2
In this paper, we are concerned with the uniqueness and nonlinear stability of vortex rings for the 3D Euler equation. By utilizing Arnold 's variational principle for steady state…
math.AP2022★ 2 cited
Existence, uniqueness and stability of steady vortex rings of small cross-section
Daomin Cao, Guolin Qin, Weilin Yu +2
This paper is concerned with steady vortex rings in an ideal fluid of uniform density, which are special global axi-symmetric solutions of the three-dimensional incompressible Eule…