Abstract
We address the global persistence of analyticity and Gevrey-class regularity of solutions to the two and three-dimensional visco-elastic second-grade fluid equations. We obtain an explicit novel lower bound on the radius of analyticity of the solutions that does not vanish as t → ∞, and which is independent of the Rivlin-Ericksen material parameter α. Applications to the damped incompressible Euler equations are also given.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 533-555 |
| Number of pages | 23 |
| Journal | Journal of Mathematical Fluid Mechanics |
| Volume | 13 |
| Issue number | 4 |
| DOIs | |
| State | Published - Dec 2011 |
All Science Journal Classification (ASJC) codes
- Mathematical Physics
- Condensed Matter Physics
- Computational Mathematics
- Applied Mathematics
Keywords
- Gevrey class
- Second grade fluids
- analyticity radius
- global well-posedness