English

On the analyticity and Gevrey class regularity up to the boundary for the Euler Equations

Analysis of PDEs 2015-05-19 v1

Abstract

We consider the Euler equations in a three-dimensional Gevrey-class bounded domain. Using Lagrangian coordinates we obtain the Gevrey-class persistence of the solution, up to the boundary, with an explicit estimate on the rate of decay of the Gevrey-class regularity radius.

Keywords

Cite

@article{arxiv.1007.2012,
  title  = {On the analyticity and Gevrey class regularity up to the boundary for the Euler Equations},
  author = {Igor Kukavica and Vlad Vicol},
  journal= {arXiv preprint arXiv:1007.2012},
  year   = {2015}
}
R2 v1 2026-06-21T15:47:19.972Z