Quantitative stability of a class of explicit steady Euler flows in a disk
Year: 2025
Type: preprint
Abstract: We provide a short proof of the $L^2$-orbital stability of a class of explicit steady Euler flows in a disk by establishing a quantitative estimate. The main idea is to exploit the conserved quantities of the Euler equation, including the kinetic energy, the enstrophy, and the moment of fluid impulse. Our result seems to suggest that more radial symmetry leads to stronger instability.
Source: arXiv (Cornell University)
Authors: Wang, Fatao, Wang, Guodong
Institution: Dalian University of Technology
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7092292696
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