Article Dans Une Revue Journal of Mathematical Fluid Mechanics Année : 2018

Navier-Stokes hierarchies of reduced MHD models in Tokamak geometry

Résumé

We study the closure of reduced MHD models. We show how to modify the entropy moment methods to obtain a hierarchy of models of Navier-Stokes type with a correct energy balance. Our procedure is based on the entropy and well adapted to the complicated geometry of the torus. A new correction term due to the geometry is derived, what is important for the stability of the model. We prove the existence of a weak solution to some of these models by similarity with Navier-Stokes theory in potential formulation. We finally obtain a comparison principle between all these models.

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Dates et versions

hal-00796425 , version 1 (04-03-2013)
hal-00796425 , version 2 (01-07-2013)

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  • HAL Id : hal-00796425 , version 2

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Bruno Després, Rémy Sart. Navier-Stokes hierarchies of reduced MHD models in Tokamak geometry. Journal of Mathematical Fluid Mechanics, 2018, 20, pp.329-357. ⟨hal-00796425v2⟩
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