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Boundary vorticity estimate for the Navier-Stokes equation and control of the layer separation in the inviscid limit

By Alexis Vasseur

Appears in collection : MathFlows

We provide a new boundary estimate on the vorticity for the incompressible Navier-Stokes equation endowed with no-slip boundary condition. The estimate is rescalable through the inviscid limit. It provides a control on the layer separation at the inviscid Kato double limit, which is consistent with the Layer separation predictions via convex integration.

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Citation data

  • DOI 10.24350/CIRM.V.19985103
  • Cite this video Vasseur, Alexis (08/12/2022). Boundary vorticity estimate for the Navier-Stokes equation and control of the layer separation in the inviscid limit. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19985103
  • URL https://dx.doi.org/10.24350/CIRM.V.19985103

Bibliography

  • VASSEUR, Alexis F. et YANG, Jincheng. Boundary Vorticity Estimates for Navier-Stokes and Application to the Inviscid Limit. arXiv preprint arXiv:2110.02426, 2021. - https://doi.org/10.48550/arXiv.2110.02426

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