Abstract
We consider two-fluid Euler–Maxwell equations for magnetized plasmas composed of electrons and ions. By using the method of asymptotic expansions, we analyze the combined non-relativistic and quasi-neutral limit for periodic problems with well-prepared initial data. It is shown that the small parameter problems have a unique solution existing in a finite time interval where the corresponding limit problems (compressible Euler equations) have smooth solutions. The proof is based on energy estimates for symmetrizable hyperbolic equations and on the exploration of the coupling between the Euler equations and the Maxwell equations.
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Li, Y., Peng, YJ. & Xi, S. The combined non-relativistic and quasi-neutral limit of two-fluid Euler–Maxwell equations. Z. Angew. Math. Phys. 66, 3249–3265 (2015). https://doi.org/10.1007/s00033-015-0569-z
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DOI: https://doi.org/10.1007/s00033-015-0569-z