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Large time behavior of solutions to 3-D MHD system with initial data near equilibrium
Multi angle
Authors : Zhang, Ping (Author of the conference)
CIRM (Publisher )
35Q30 - Stokes and Navier-Stokes equations
76D03 - Existence, uniqueness, and regularity theory
CIRM (Publisher )
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Abstract :
Given initial data $(b_0, u_0)$ close enough to the equilibrium state $(e_3, 0)$, we prove that the 3-D incompressible MHD system without magnetic diffusion has a unique global solution $(b, u)$. Moreover, we prove that $(b(t) - e_3, u(t))$ decay to zero with rates in both $L^\infty$ and $L^2$ norm. (This is a joint work with Wen Deng).
MSC Codes : 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 : 18/05/17 Conference Date : 11/05/17 Subseries : Research talks arXiv category : Analysis of PDEs ; Mathematical Physics Mathematical Area(s) : PDE ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:49:51 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-05-11_Zhang.mp4 
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Information on the Event
Event Title : Vorticity, rotation and symmetry (IV): Complex fluids and the issue of regularity / Vorticité, rotation et symétrie (IV) : fluides complexes et problèmes de régularitéEvent Organizers : Danchin, Raphaël ; Farwig, Reinhard ; Neustupa, Jiri ; Penel, Patrick Dates : 08/05/17 - 12/05/17 Event Year : 2017 Event URL : http://conferences.cirm-math.fr/1588.html
Citation Data
DOI : 10.24350/CIRM.V.19165803Cite this video as: Zhang, Ping (2017). Large time behavior of solutions to 3-D MHD system with initial data near equilibrium. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19165803 URI : http://dx.doi.org/10.24350/CIRM.V.19165803 |
See Also
- [Multi angle] $L^q$-$L^r$ estimates of a generalized Oseen evolution operator, with applications to the Navier-Stokes flow past a rotating obstacle / Author of the conference Hishida, Toshiaki.
- [Multi angle] An asymptotic regime for the Vlasov-Poisson system / Author of the conference Miot, Evelyne.
- [Multi angle] On the analysis of a class of thermodynamically compatible viscoelastic fluids with stress diffusion / Author of the conference Málek, Josef.
- [Post-edited] The Onsager Theorem / Author of the conference De Lellis, Camillo.
Bibliography
- Deng, W., & Zhang, P. (2017). Large time behavior of solutions to 3-D MHD system with initial data near equilibrium.
