## Abstract In this paper, we consider incompressible viscous fluid flows with slip boundary conditions. We first prove the existence of solutions of the unsteady Navier–Stokes equations in __n__‐spacial dimensions. Then, we investigate the stability, uniqueness and regularity of solutions in two a
On the Navier-Stokes equation with boundary conditions based on vorticity
✍ Scribed by Hamid Bellout; Jiří Neustupa; Patrick Penel
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 213 KB
- Volume
- 269-270
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
We treat the Stokes and the Navier‐Stokes equation with the conditions curl^k^u · n = 0 (k = 0, 1, 2) on the boundary of the flow field. The approach is based on a spectral analysis and properties of operator curl. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
📜 SIMILAR VOLUMES
## Abstract We establish the wellposedness of the time‐independent Navier–Stokes equations with threshold slip boundary conditions in bounded domains. The boundary condition is a generalization of Navier's slip condition and a restricted Coulomb‐type friction condition: for wall slip to occur the m