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math.AP2025
Support growth of vorticity for bi-rotational Euler flows in high dimensions
In-Jee Jeong, Deokwoo Lim
We study incompressible Euler equations in with under bi-rotational symmetry without swirl, which reduces the Euler equations to a scalar vorticity advecti…
math.AP2024
On the optimal rate of vortex stretching for axisymmetric Euler flows without swirl
Deokwoo Lim, In-Jee Jeong
For axisymmetric flows without swirl and compactly supported initial vorticity, we prove the upper bound of for the growth of the vorticity maximum, which was conjectured…
math.AP2021
Stability of radially symmetric, monotone vorticities of 2D Euler equations
Kyudong Choi, Deokwoo Lim
We consider the incompressible Euler equations in when the initial vorticity is bounded, radially symmetric and non-increasing in the radial direction. Such a radial distribu…