On the rigidity of uniformly rotating vortex patch near the Rankine vortex
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.
Authors
- Yupei Huang (ORCID: https://orcid.org/0000-0002-6525-9414)
Institutions
- Duke University (US)
Publication Details
- Journal
- Nonlinearity
- Published
- 2024-11-21
- DOI
- https://doi.org/10.1088/1361-6544/ad918d
- Citations
- 1
- Primary Topic
- Fluid Dynamics and Turbulent Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.37
Funders
- Division of Mathematical Sciences