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Intermittent weak solutions of the 3D Navier-Stokes equations
Post-edited
Authors : Vicol, Vlad (Author of the conference)
CIRM (Publisher )
35Q30 - Stokes and Navier-Stokes equations
35Q35 - PDEs in connection with fluid mechanics
76D05 - Navier-Stokes equations (fluid dynamics)
CIRM (Publisher )
Abstract :
I will discuss recent developments concerning the non-uniqueness of distributional solutions to the Navier-Stokes equation.
Keywords : Euler equations; intermittency; inviscid limit; Navier-Stokes; convex integration; turbulence; weak solutions
MSC Codes : Keywords : Euler equations; intermittency; inviscid limit; Navier-Stokes; convex integration; turbulence; weak solutions
35Q30 - Stokes and Navier-Stokes equations
35Q35 - PDEs in connection with fluid mechanics
76D05 - Navier-Stokes equations (fluid dynamics)
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 19/12/2018 Conference Date : 12/12/2018 Subseries : Research talks arXiv category : Analysis of PDEs ; Mathematical Physics Mathematical Area(s) : PDE ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 01:02:14 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2018-12-12_Vicol.mp4 
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Information on the Event
Event Title : Non standard diffusions in fluids, kinetic equations and probability / Diffusions non standards en mécanique des fluides, équations cinétiques et probabilitésEvent Organizers : Imbert, Cyril ; Mouhot, Clément ; Tristani, Isabelle Dates : 10/12/2018 - 14/12/2018 Event Year : 2018 Event URL : https://conferences.cirm-math.fr/1862.html
Citation Data
DOI : 10.24350/CIRM.V.19482603Cite this video as: Vicol, Vlad (2018). Intermittent weak solutions of the 3D Navier-Stokes equations. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19482603 URI : http://dx.doi.org/10.24350/CIRM.V.19482603 |
See Also
- [Multi angle] Linear Boltzmann equation and fractional diffusion / Author of the conference Golse, François.
- [Multi angle] Using Harris's theorem to show convergence to equilibrium for kinetic equations / Author of the conference Evans, Josephine.
- [Multi angle] Stable phase transitions: from nonlocal to local / Author of the conference Serra, Joaquim.
- [Multi angle] Quenched invariance principle for random walks among random conductances with stable-like jumps / Author of the conference Kumagai, Takashi.
Bibliography
- Buckmaster, T., & Vicol, V. (2018). Nonuniqueness of weak solutions to the Navier-Stokes equation. Annals of Mathematics, to appear in forthcoming issues - http://annals.math.princeton.edu/articles/14093
- Buckmaster, T., Colombo, M., & Vicol, V. (2018). Wild solutions of the Navier-Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1.〈arXiv:1809.00600 - https://arxiv.org/abs/1809.00600
