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In the diffusive regime, we obtain the uniform in Knudsen number estimate onthe two-species Vlasov-Maxwell-Landau system with Coulomb potential around theglobal equilibrium. As a consequence, we justify the limit to the two-fluidincompressible Navier-Stokes-Fourier-Maxwell (NSFM) system with Ohm's law. Thisis the first result on the global in time uniform in Knudsen number estimate onthe Boltzmann and Landau type equations with Coulomb potential coupledVlasov-Maxwell equations.

From Vlasov-Maxwell-Landau system with Coulomb potential to two-fluid incompressible Navier-Stokes-Fourier-Maxwell system with Ohm's law