Year: 2024
Type: article
Abstract: The uniformly rotating vortex patch solutions(also known as V-states) are a class of important periodic solutions for the 2D incompressible Euler equations. In this paper, we perform the bifurcation analysis and give a rigidity result of the V-states near the Rankine vortex in some weak topology.
Source: Nonlinearity
Author: Yupei Huang
Institution: Duke University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4404599050