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- W2629063964 abstract "We consider the dynamics of two layers of incompressible electrically conducting fluid interacting with the magnetic field, which are confined within a 3D horizontally infinite slab and separated by a free internal interface. We assume that the upper fluid is heavier than the lower fluid so that the fluids are susceptible to the Rayleigh-Taylor instability. Yet, we show that the viscous and non-resistive problem around the equilibrium is nonlinearly stable provided that the strength of the vertical component of the steady magnetic field, $|bar B_3|$, is greater than the critical value, $mathcal{M}_c$, which we identify explicitly. We also prove that the problem is nonlinearly unstable if $|bar B_3|<mathcal{M}_c$. Our results indicate that the non-horizontal magnetic field has strong stabilizing effect on the Rayleigh-Taylor instability but the horizontal one does not have in 3D." @default.
- W2629063964 created "2017-06-30" @default.
- W2629063964 creator A5027157242 @default.
- W2629063964 date "2016-02-08" @default.
- W2629063964 modified "2023-09-23" @default.
- W2629063964 title "Sharp nonlinear stability criterion of viscous non-resistive MHD internal waves in 3D" @default.
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- W2629063964 doi "https://doi.org/10.48550/arxiv.1602.02554" @default.
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