Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: MHD stability of large scale liquid metal batteries   The aim of this paper is to develop a stability theory and a numerical model
for the three density-stratified electrically conductive liquid layers. Using
regular perturbation methods to reduce the full 3d problem to the shallow layer
model, the coupled wave and electric current equations are derived. The problem
set-up allows the weakly non-linear velocity field action and an arbitrary
vertical magnetic field. Further linearisation of the coupled equations is used
for the linear stability analysis in the case of uniform vertical magnetic
field. New analytical stability criteria accounting for the viscous damping are
derived for particular cases of practical interest and compared to the
numerical solutions for variety of materials used in the batteries. The new
criteria are equally applicable to the aluminium electrolysis cell MHD
stability estimates.

27
The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph