Jianwei Yang, Zhitao Zhuang
Abstract
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We rigorously justify a singular Euler‐Poisson approximation of the incompressible Euler equations in the quasi‐neutral regime for plasma physics. Using the modulated energy estimates, the rate convergence of Euler‐Poisson systems to the incompressible Euler equations is obtained.
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We rigorously justify a singular Euler‐Poisson approximation of the incompressible Euler equations in the quasi‐neutral regime for plasma physics. Using the modulated energy estimates, the rate convergence of Euler‐Poisson systems to the incompressible Euler equations is obtained.
Key concepts: Euler equations, Euler's formula, Compressibility, Semi-implicit Euler method, Backward Euler method, Mathematics, Poisson distribution, Convergence (economics)