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The mathematical theory of reduced MHD models for fusion plasmas

Hervé Guillard 1, 2
1 CASTOR - Control, Analysis and Simulations for TOkamak Research
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné
Abstract : The derivation of reduced MHD models for fusion plasma is here formulated as a special instance of the general theory of singular limit of hyperbolic system of PDEs with large operator. This formulation allows to use the general results of this theory and to prove rigorously that reduced MHD models are valid approximations of the full MHD equations. In particular, it is proven that the solutions of the full MHD system converge to the solutions of an appropriate reduced model
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Submitted on : Tuesday, June 2, 2015 - 4:21:54 PM
Last modification on : Tuesday, September 28, 2021 - 2:10:07 PM
Long-term archiving on: : Wednesday, April 19, 2017 - 3:38:46 AM

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  • HAL Id : hal-01145009, version 1
  • ARXIV : 1506.01843
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Hervé Guillard. The mathematical theory of reduced MHD models for fusion plasmas. [Research Report] RR-8715, INRIA. 2015. ⟨hal-01145009⟩

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