On the onset of filamentation on two-dimensional vorticity interfaces
Abstract We study an asymptotic nonlinear model for filamention on two-dimensional vorticity interfaces. Different re-formulations of the model equation reveal its underlying structural properties. They enable us to construct global weak solutions and to prove the existence of traveling waves.
Authors
- Adrian Constantin (ORCID: https://orcid.org/0000-0001-8868-9305)
- David G. Dritschel (ORCID: https://orcid.org/0000-0001-6489-3395)
- Pierre Germain (ORCID: https://orcid.org/0000-0003-3148-4127)
Institutions
- University of Vienna (AT)
- University of St Andrews (GB)
- Imperial College London (GB)
Publication Details
- Journal
- Nonlinearity
- Published
- 2025-08-22
- DOI
- https://doi.org/10.1088/1361-6544/adf16b
- Primary Topic
- Fluid Dynamics and Turbulent Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Royal Society
- Austrian Science Fund