On the onset of filamentation on two-dimensional vorticity interfaces
Analysis of PDEs
2024-10-11 v1
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.
Cite
@article{arxiv.2410.07807,
title = {On the onset of filamentation on two-dimensional vorticity interfaces},
author = {Adrian Constantin and David Dritschel and Pierre Germain},
journal= {arXiv preprint arXiv:2410.07807},
year = {2024}
}
Comments
12 pages