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arXiv · 2410.07807

On the onset of filamentation on two-dimensional vorticity interfaces

Adrian Constantin·David Dritschel·Pierre Germain
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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.

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Adrian Constantin, David Dritschel, Pierre Germain. 2024-10-10. On the onset of filamentation on two-dimensional vorticity interfaces. https://arxiv.org/abs/2410.07807

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