English

Formulation of finite-time singularity for free-surface Euler equations

Analysis of PDEs 2012-12-24 v2

Abstract

We give an extremely short proof that the free-surface incompressible, irrotational Euler equations with regular initial condition can form a finite time singularity in 2D or 3D. Thus, we provide a simple view of the problem studied by Castro, Cordoba, Fefferman, Gancedo, Lopez-Fernadez, Gomez-Serrano and Coutand, Shkoller.

Keywords

Cite

@article{arxiv.1211.4299,
  title  = {Formulation of finite-time singularity for free-surface Euler equations},
  author = {Yi Zhou},
  journal= {arXiv preprint arXiv:1211.4299},
  year   = {2012}
}

Comments

6 pages

R2 v1 2026-06-21T22:40:28.898Z