Quasineutral limit for the compressible two-fluid Euler–Maxwell equations for well-prepared initial data

Abstract

<p style='text-indent:20px;'>In this paper, we study the quasi-neutral limit for the compressible two-fluid Euler–Maxwell equations for well-prepared initial data. Precisely, we proved the solution of the three-dimensional compressible two-fluid Euler–Maxwell equations converges locally in time to that of the compressible Euler equation as <inline-formula><tex-math id="M1">$ \varepsilon $</tex-math></inline-formula> tends to zero. This proof is based on the formal asymptotic expansions, the iteration techniques, the vector analysis formulas and the Sobolev energy estimates.</p>