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math.AP2024
Stability of vortex quadrupoles with odd-odd symmetry
Kyudong Choi, In-Jee Jeong, Yao Yao
For the 2D incompressible Euler equations, we establish global-in-time () stability of vortex quadrupoles satisfying odd symmetry with respect to both axes. Speci…
math.AP2024
On existence of Sadovskii vortex patch: A touching pair of symmetric counter-rotating uniform vortex
Kyudong Choi, In-Jee Jeong, Young-Jin Sim
The Sadovskii vortex patch is a traveling wave for the two-dimensional incompressible Euler equations consisting of an odd symmetric pair of vortex patches touching the symmetry ax…
math.AP2024
On global regularity of some bi-rotational Euler flows in
Kyudong Choi, In-Jee Jeong, Deokwoo Lim
In this paper, we consider incompressible Euler flows in under bi-rotational symmetry, namely solutions that are invariant under rotations in fi…