Mathematics – Analysis of PDEs
Scientific paper
2009-05-18
Journal of Differential Equations, 246(2009) 3620-3641
Mathematics
Analysis of PDEs
20 pages
Scientific paper
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.
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