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中文摘要：
研究了电解液中一个由Poisson-Nernst-Planck系统和Navier-Stokes系统耦合的电扩散模型.对于一般初值,构造了一个包含初始层的精确近似解,利用多尺度渐近展开方法严格证明了拟中性极限,并且用Hardy-Littlewood不等式处理了由初始层导致的奇异项.
英文摘要：
The authors study the electro-diffusion model arising in electrohydrodynamics which is a coupled Poisson-Nernst-Planck and Navier-Stokes system. On the basis of the general data,a more accurate approximate solution involving the effect of initial layer is constructed and the quasi-neutral limit is performed rigorously by using multiple scaling asymptotic analysis. Hardy-Littlewood＇s inequality is used to deal with the singular terms caused by the initial layer function.
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