@article{despres_167,
title = {Navier-Stokes Hierarchies of Reduced MHD Models in Tokamak Geometry},
author = {Bruno Després and Rémy Sart},
url = {https://link.springer.com/article/10.1007%2Fs00021-017-0323-8},
year = {2018},
date = {2018-06-01},
journal = {Journal Of Mathematical Fluid Mechanics},
volume = {20},
number = {2},
pages = {329-357},
abstract = {We study the closure of reduced MHD models, such as the ones which are used in the modeling of Tokamaks and ITER, see Franck et al. (ESAIM: M2AN 49(5), 2015) and Guillard (2015) and references therein. We show how to modify the entropy moment methods to obtain a hierarchy of Navier-Stokes like models in potential formulation with a correct energy balance. Our procedure is well adapted to the complicated geometry of the torus. We obtain mainly two original results. One is a comparison principle between all these models: it explains that the dynamics of a reduced model is a lower bound of the dynamics of the initial model. The other one the existence of a weak solution to some of these complicate models adapted to the Tokamak geometry.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
