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Vorticity and smoothness in incompressible viscous flows. Boundary value problems.(Kyoto Conference on the Navier-Stokes Equations and their Applications)
| Content Provider | Semantic Scholar |
|---|---|
| Author | Veiga, Hugo Beirão Da |
| Copyright Year | 2007 |
| Abstract | In these notes we give an overview on some known and new results on sufficient conditions for the regularity of the Navier‐Stokes equations in terms of the direction of the vorticity. After recalling some known results we state a new theorem (the proof will appear in a forthcoming paper, in collaboration with L.C. Berselli) which establish that in regular domains $\Omega$ the solutions to the evolution Navier‐Stokes equations under the slip‐ type boundary condition (2.15) must be smooth if the direction of the vorticity is 1/2‐Hólder continuous with respect to the space variables. |
| Starting Page | 71 |
| Ending Page | 77 |
| Page Count | 7 |
| File Format | PDF HTM / HTML |
| Volume Number | 1 |
| Alternate Webpage(s) | http://www.kurims.kyoto-u.ac.jp/~kenkyubu/bessatsu/open/B1/pdf/B01_004.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
