Stability threshold of 2-D Couette flow for the Navier-Stokes equations | Vidéo | Carmin.tv

00:00:00 / 00:00:00

Stability threshold of 2-D Couette flow for the Navier-Stokes equations

By Zhifei Zhang

Appears in collection : Mathematics of fluids in motion: Recent results and trends / Fluides en mouvement : résultats récents et perspectives

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

Information about the video

Date of recording 14/11/2024
Date of publication 29/11/2024
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20270603
Cite this video Zhang, Zhifei (14/11/2024). Stability threshold of 2-D Couette flow for the Navier-Stokes equations. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20270603
URL https://dx.doi.org/10.24350/CIRM.V.20270603

Domain(s)

Fluid Dynamics

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

MSC codes

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

Copyright Carmin.tv 2025

Give feedback