Convergence of compressible Navier-Stokes-Maxwell equations to incompressible Navier-Stokes equations

• DOI: 10.1007/s11425-014-4792-4
• Publication Date: 2014-02-28T16:20:41Z
• Authors: JianWei Yang; Shu Wang
• Keywords: Pressure-correction method

The combined quasi-neutral and non-relativistic limit of compressible Navier-Stokes-Maxwell equations for plasmas is studied. For well-prepared initial data, it is shown that the smooth solution of compressible Navier-Stokes-Maxwell equations converges to the smooth solution of incompressible Navier-Stokes equations by introducing new modulated energy functional.