✦ LIBER ✦
Estimates for the asymptotic expansion of a viscous fluid satisfying Navier's law on a rugous boundary
✍ Scribed by Juan Casado-Díaz; Manuel Luna-Laynez; Francisco J. Suárez-Grau
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 171 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1456
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✦ Synopsis
In a previous paper, we have studied the asymptotic behavior of a viscous fluid satisfying Navier's law on a periodic rugous boundary of period e and amplitude d e , with d e / e tending to zero. In the critical size, d e ∼e 3/2 , in order to obtain a strong approximation of the velocity and the pressure it is necessary to consider a boundary layer term in the corresponding ansatz.