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In this paper, we rigorously derive the compressible one-fluid Navier-Stokesequation from the scaled compressible two-fluid Navier-Stokes-Maxwell equationslocally in time under the assumption that the initial data are well prepared.We justify the singular limit by proving the uniform decay of the error system,which is obtained by elaborate energy estimates.

Rigorous derivation of the compressible Navier-Stokes equations from the two-fluid Navier-Stokes-Maxwell equations