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

2010/07/31 by Igor Kukavica, Vlad Vicol
Mathematics · #Advanced Mathematical Physics Problems #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions

paper · doi:10.1088/0951-7715/24/3/004

openalex publication_date 2011/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

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, in terms of Sobolev norms.

Citations

• A Multivariate Faa di Bruno Formula with Applications
• Nonstationary flows of viscous and ideal fluids in R3
• Gevrey class regularity for the solutions of the Navier-Stokes equations