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Stability threshold of 2-D Couette flow for the Navier-Stokes equations
Multi angle
Authors : Zhang, Zhifei (Author of the conference)
CIRM (Publisher )
35Q30 - Stokes and Navier-Stokes equations
76E30 - Nonlinear effects
76F06
CIRM (Publisher )
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Abstract :
In this talk, I will introduce nonlinear stability results of 2-D Couette flow for the NavierStokes equations at high Reynolds number. To achieve the optimal stability threshold, two kinds of physical effects including inviscid damping and enhanced dissipation play a crucial role. This talk is based on three joint papers
Keywords : Navier-Stokes equations; hydrodynamic stability; Couette flow
MSC Codes : Keywords : Navier-Stokes equations; hydrodynamic stability; Couette flow
35Q30 - Stokes and Navier-Stokes equations
76E30 - Nonlinear effects
76F06
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 29/11/2024 Conference Date : 14/11/2024 Subseries : Research talks arXiv category : Fluid Dynamics Mathematical Area(s) : PDE Format : MP4 (.mp4) - HD Video Time : 00:57:39 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2024-11-14_Zhang.mp4 
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Information on the Event
Event Title : Mathematics of fluids in motion: Recent results and trends / Fluides en mouvement : résultats récents et perspectivesEvent Organizers : Danchin, Raphaël ; Necasova, Sarka Dates : 11/11/2024 - 15/11/2024 Event Year : 2024 Event URL : https://conferences.cirm-math.fr/3108.html
Citation Data
DOI : 10.24350/CIRM.V.20270603Cite this video as: Zhang, Zhifei (2024). Stability threshold of 2-D Couette flow for the Navier-Stokes equations. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20270603 URI : http://dx.doi.org/10.24350/CIRM.V.20270603 |
See Also
- [Multi angle] Endpoint maximal regularity in BMO and its application to fluid mechanics / Author of the conference Ogawa,Takayoshi.
- [Multi angle] The Role of Dissipation in the Existence of Time-Periodic Solutions to PDE Systems / Author of the conference Muha, Boris.
- [Multi angle] The long way of a viscous vortex dipole / Author of the conference Gallay, Thierry.
- [Multi angle] A one-dimensional model for suspension flows / Author of the conference Perrin, Charlotte.
Bibliography
- GERARD, Patrick. An explicit formula for the Benjamin–Ono equation. Tunisian Journal of Mathematics, 2023, vol. 5, no 3, p. 593-603. - https://doi.org/10.2140/tunis.2023.5.593
- CHEN, Qi, LI, Te, WEI, Dongyi, et al. Transition threshold for the 2-D Couette flow in a finite channel. Archive for rational mechanics and analysis, 2020, vol. 238, no 1, p. 125-183. - https://doi.org/10.1007/s00205-020-01538-y
- CHEN, Qi, WEI, Dongyi, et ZHANG, Zhifei. Transition threshold for the 3D Couette flow in a finite channel. American Mathematical Society, 2024. - http://doi.org/10.1090/memo/1478
Imagette Video
