Vorticity, rotation and symmetry (IV): Complex fluids and the issue of regularity / Vorticité, rotation et symétrie (IV) : fluides complexes et problèmes de régularité

Collection Vorticity, rotation and symmetry (IV): Complex fluids and the issue of regularity / Vorticité, rotation et symétrie (IV) : fluides complexes et problèmes de régularité

Organizer(s) Danchin, Raphaël ; Farwig, Reinhard ; Neustupa, Jiri ; Penel, Patrick

Date(s) 08/05/2017 - 12/05/2017

linked URL http://conferences.cirm-math.fr/1588.html

00:00:00 / 00:00:00

5 5

Large time behavior of solutions to 3-D MHD system with initial data near equilibrium

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).

Information about the video

Date of recording 11/05/2017
Date of publication 18/05/2017
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19165803
Cite this video Zhang, Ping (11/05/2017). Large time behavior of solutions to 3-D MHD system with initial data near equilibrium. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19165803
URL https://dx.doi.org/10.24350/CIRM.V.19165803

Domain(s)

Bibliography

Deng, W., & Zhang, P. (2017). Large time behavior of solutions to 3-D MHD system with initial data near equilibrium. <arXiv:1702.05260> - https://arxiv.org/abs/1702.05260

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