On the convergence to the Navier-Stokes-Maxwell system with solenoidal Ohm's law

Abstract

The incompressible Navier-Stokes-Maxwell system with solenoidal Ohm's law can be viewed as as the asymptotic limit of the two-fluid incompressible Navier-Stokes-Maxwell system as the momentum transfer coefficient tends to zero (see [1], Arsénio, Ibrahim and Masmoudi, Arch. Ration. Mech. Anal., 2015). We prove this limit rigorously without loss of regularity by using the idea of frequency envelope.

This manuscript has been accepted for publication in Journal of Evolution Equations.The final published version may differ from this arXiv version