bi-rotational symmetry 1high-dimensional fluids 1incompressible euler equations 1vorticity growth 1well-posedness 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AP2026
On the upper bound for the vorticity growth of bi-rotational Euler flows without swirl
Khakim Egamberganov, Deokwoo Lim
The paper proves local Yudovich‑type well‑posedness and global well‑posedness (up to dimension 6) for incompressible Euler flows with bi‑rotational symmetry and no swirl, showing t…
math.AP2026
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.AP2025
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…