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Convergence of compressible Navier-Stokes-Maxwell equations to incompressible Navier-Stokes equations |
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| Authors: | JianWei Yang Shu Wang |
| Institution: | 1. Institute of Applied Physics and Computational Mathematics, Beijing, 100088, China 2. College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou, 450046, China 3. College of Applied Sciences, Beijing University of Technology, Beijing, 100022, China |
| Abstract: | 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. |
| Keywords: | Navier-Stokes-Maxwell equations incompressible Navier-Stokes equations asymptotic limit modulated energy function |
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