### Electronic Research Archive

2020, Issue 2: 879-895. doi: 10.3934/era.2020046

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

• Received: 01 April 2020 Revised: 01 April 2020
• Primary: 35L60, 35B40; Secondary: 35C20

• 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 $\varepsilon$ tends to zero. This proof is based on the formal asymptotic expansions, the iteration techniques, the vector analysis formulas and the Sobolev energy estimates.

Citation: Min Li, Xueke Pu, Shu Wang. Quasineutral limit for the compressible two-fluid Euler–Maxwell equations for well-prepared initial data[J]. Electronic Research Archive, 2020, 28(2): 879-895. doi: 10.3934/era.2020046

### Related Papers:

• 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 $\varepsilon$ tends to zero. This proof is based on the formal asymptotic expansions, the iteration techniques, the vector analysis formulas and the Sobolev energy estimates.

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