Article contents
Viscous profiles of vortex patches
Published online by Cambridge University Press: 08 October 2013
Abstract
We deal with the incompressible Navier–Stokes equations with vortex patches as initial data. Such data describe an initial configuration for which the vorticity is discontinuous across a hypersurface. We give an asymptotic expansion of the solutions in the vanishing viscosity limit which exhibits an internal layer where the fluid vorticity has a sharp variation. This layer moves with the flow of the Euler equations.
- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 14 , Issue 1 , January 2015 , pp. 1 - 68
- Copyright
- ©Cambridge University Press 2013
References
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20170303141225678-0231:S1474748013000285:S1474748013000285_inline2127.gif?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20170303141225678-0231:S1474748013000285:S1474748013000285_inline2128.gif?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20170303141225678-0231:S1474748013000285:S1474748013000285_inline2129.gif?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20170303141225678-0231:S1474748013000285:S1474748013000285_inline2130.gif?pub-status=live)
- 7
- Cited by