Mathematical properties of hierarchies of reduced MHD models | Vidéo | Carmin.tv

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Mathematical properties of hierarchies of reduced MHD models

By Bruno Després

Appears in collection : CEMRACS : Numerical modeling of plasmas / CEMRACS : Modèles numériques des plasmas

Reduced MHD models in Tokamak geometry are convenient simplifications of full MHD and are fundamental for the numerical simulation of MHD stability in Tokamaks. This presentation will address the mathematical well-posedness and the justification of the such models. The first result is a systematic design of hierachies of well-posed reduced MHD models. Here well-posed means that the system is endowed with a physically sound energy identity and that existence of a weak solution can be proved. Some of these models will be detailed. The second result is perhaps more important for applications. It provides understanding on the fact the the growth rate of linear instabilities of the initial (non reduced) model is lower bounded by the growth rate of linear instabilities of the reduced model. This work has been done with Rémy Sart.

Information about the video

Date of recording 01/08/2014
Date of publication 26/08/2014
Institution CIRM
Licence CC BY NC ND
Language English
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.18557303
Cite this video Després, Bruno (01/08/2014). Mathematical properties of hierarchies of reduced MHD models. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18557303
URL https://dx.doi.org/10.24350/CIRM.V.18557303

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Bibliography

Després, B., Sart, R. Navier-Stokes hierarchies of reduced MHD models in Tokamak geometry. Hal preprint - http://hal.archives-ouvertes.fr/hal-00796425
Després, B., Sart, R. Reduced resistive MHD in Tokamaks with general density. ESAIM: Mathematical Modelling and Numerical Analysis 46 (2012) no. 5, pp 1081-1106 - http://dx.doi.org/10.1051/m2an/2011078

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