电流体力学中电扩散模型的拟中性极限
Quasineutral limit of the electro-diffusion model arising in Electrohydrodynamics
摘要：
电扩散模型是电流体力学中的一个新概念，它是Nernst-Planck-Poisson方程组与不可压Navier-斯托克斯方程之间的耦合。对于一般平滑的掺杂分布，准中性极限（零德拜长度限制）是合理的严格在索伯列夫规范一致的时间。证明是基于详细的能量分析，关键是建立关于标度德拜长度的一致估计。
英文摘要：
The electro-diffusion model, which arises in electrohydrodynamics, is a coupling between the Nernst-Planck-Poisson system and the incompressible Navier-Stokes equations. For the generally smooth doping profile, the quasineutral limit (zero-Debye-length limit) is justified rigorously in Sobolev norm uniformly in time. The proof is based on the elaborate energy analysis and the key point is to establish the uniform estimates with respect to the scaled Debye length.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
