本文研究无Pn-联结的非线性双极半导体漂流扩散模型的消失Debye长度极限(即粒子中性极限)问题.使用熵方法和弱紧性方法从数学上严格证明了快扩散情形的拟中性极限.%The limit of vanishing Debye length (charge neutral limit) in a nonlinear bipolar drift-diffusion model for semiconductors without pn-junction (i.e. with a unipolar background charge) is studied. The quasineutral limit (zero-Debye-length limit) for the fast diffusion case is performed rigorously by using the compactness argument and the so-called entropy functional which yields ap-propriate uniform estimates.
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