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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 765-796 |
| Number of pages | 32 |
| Journal | Nonlinearity |
| Volume | 24 |
| Issue number | 3 |
| DOIs | |
| State | Published - Mar 2011 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy
- Applied Mathematics