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Vorticity internal transition layers for the Navier-Stokes equations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Sueur, Franck |
| Copyright Year | 2008 |
| Abstract | We deal with the incompressible Navier-Stokes equations, in two and three dimensions, when some vortex patches are prescribed as initial data i.e. when there is an internal boundary across which the vorticity is discontinuous. We show -thanks to an asymptotic expansionthat there is a sharp but smooth variation of the fluid vorticity into a internal layer moving with the flow of the Euler equations; as long as this later exists and as t << 1/ν, where ν is the viscosity coefficient. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/0812.2145v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Coefficient Euler Navier–Stokes equations Vortex anatomical layer |
| Content Type | Text |
| Resource Type | Article |
