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Stabilization by a background magnetic field: global well-posedness of the compressible isentropic ideal MHD equations with velocity damping
We study the Cauchy problem for the three-dimensional isentropic compressible ideal (inviscid and non-resistive) magnetohydrodynamic equations with velocity damping on the periodic torus $\mathbb{T}^3$. The system admits a steady equilibrium consisting of a constant density $\barρ$ and a uniform bac
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