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Boundary vorticity estimate for the Navier-Stokes equation and control of the layer separation in the inviscid limit
Multi angle
Authors : Vasseur, Alexis (Author of the conference)
CIRM (Publisher )
35B40 - Asymptotic behavior of solutions of PDE
35Q30 - Stokes and Navier-Stokes equations
76D03 - Existence, uniqueness, and regularity theory
CIRM (Publisher )
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Abstract :
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.
Keywords : layer separation; boundary regularity; inviscid limit; Navier-Stokes; Euler
MSC Codes : Keywords : layer separation; boundary regularity; inviscid limit; Navier-Stokes; Euler
35B40 - Asymptotic behavior of solutions of PDE
35Q30 - Stokes and Navier-Stokes equations
76D03 - Existence, uniqueness, and regularity theory
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 19/12/2022 Conference Date : 08/12/2022 Subseries : Research talks arXiv category : Analysis of PDEs ; Fluid Dynamics Mathematical Area(s) : PDE Format : MP4 (.mp4) - HD Video Time : 00:41:52 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-12-08_Vasseur.mp4 
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Information on the Event
Event Title : MathFlowsEvent Organizers : Danchin, Raphaël ; Mucha, Piotr ; Tolksdorf, Patrick ; Zatorska, Ewelina Dates : 05/12/2022 - 09/12/2022 Event Year : 2022 Event URL : https://conferences.cirm-math.fr/2638.html
Citation Data
DOI : 10.24350/CIRM.V.19985103Cite this video as: Vasseur, Alexis (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 URI : http://dx.doi.org/10.24350/CIRM.V.19985103 |
See Also
- [Multi angle] The Rayleigh-Bénard problem for compressible fluid flows / Author of the conference Swierczewska-Gwiazda, Agnieszka.
- [Multi angle] Regularity of vortex and SQG patches / Author of the conference Kiselev, Alexander.
- [Multi angle] Odd fluids / Author of the conference Fanelli, Francesco.
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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