On the Navier‐Stokes equation with boundary conditions based on vorticity
H Bellout, J Neustupa, P Penel - Mathematische Nachrichten, 2004 - Wiley Online Library
H Bellout, J Neustupa, P Penel
Mathematische Nachrichten, 2004•Wiley Online Library… We show that under some assumption on f the boundary conditions (1.4) naturally induce
the same boundary conditions for vorticity in Section 2. We deal with operator curl in Section
3. We derive (or re-derive) some properties which we apply in the next sections. In Sections
4 and 5, we show that the basic theory of the Stokes and the Navier-Stokes equations can
be extended to the case of the boundary conditions (1.4). Finally, we treat some problems
whose solution is different with the boundary conditions (1.4) than with the classical non-slip …
the same boundary conditions for vorticity in Section 2. We deal with operator curl in Section
3. We derive (or re-derive) some properties which we apply in the next sections. In Sections
4 and 5, we show that the basic theory of the Stokes and the Navier-Stokes equations can
be extended to the case of the boundary conditions (1.4). Finally, we treat some problems
whose solution is different with the boundary conditions (1.4) than with the classical non-slip …
Abstract
We treat the Stokes and the Navier‐Stokes equation with the conditions curlku · 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)
Wiley Online Library以上显示的是最相近的搜索结果。 查看全部搜索结果