English

Regular and Singular Steady States of 2D incompressible Euler equations near the Bahouri-Chemin Patch

Analysis of PDEs 2023-08-30 v2

Abstract

We consider steady states of the two-dimensional incompressible Euler equations in T2\mathbb{T}^2 and construct smooth and singular steady states around a particular singular steady state. More precisely, we construct families of smooth and singular steady solutions that converge to the Bahouri-Chemin patch.

Keywords

Cite

@article{arxiv.2207.12640,
  title  = {Regular and Singular Steady States of 2D incompressible Euler equations near the Bahouri-Chemin Patch},
  author = {Tarek M. Elgindi and Yupei Huang},
  journal= {arXiv preprint arXiv:2207.12640},
  year   = {2023}
}