English

Lagrangian time-analyticity for the Euler equations in a Sobolev domain

Analysis of PDEs 2024-09-04 v2

Abstract

Assuming only Sobolev regularity of the domain, we prove time-analyticity of Lagrangian trajectories for solutions of the Euler equations.

Keywords

Cite

@article{arxiv.2202.06113,
  title  = {Lagrangian time-analyticity for the Euler equations in a Sobolev domain},
  author = {Juhi Jang and Igor Kukavica and Linfeng Li},
  journal= {arXiv preprint arXiv:2202.06113},
  year   = {2024}
}

Comments

The equation (3.19) may have some lower-order terms

R2 v1 2026-06-24T09:33:26.759Z