@article{46384d5474814ba7bae5482f03446fb0,
title = "Quasi-neutral limit of a nonlinear drift diffusion model for semiconductors",
abstract = "The limit of the vanishing Debye length (the charge neutral limit) in a non-linear bipolar drift-diffusion model for semiconductors without a pn-junction (i.e., with a unipolar background charge) is studied. The quasi-neutral limit (zero-Debye-length limit) is determined rigorously by using the so-called entropy functional which yields appropriate uniform estimates.",
keywords = "Entropy method, Nonlinear drift-diffusion equations, Quasi-neutral limit",
author = "Ingenuin Gasser and Ling Hsiao and Markowich, {Peter A.} and Shu Wang",
note = "Funding Information: The limit of the vanishing Debye length (the charge neutral limit) in a nonlinear bipolar drift-diffusion model for semiconductors without a pn-junction (i.e., with a unipolar background charge) is studied. The quasi-neutral limit 1Supported by the EU-funded TMR-network Asymptotic Methods in Kinetic Theory (Contract Number ERB FMRX CT97 0157). 2Supported by the Austrian–Chinese Scientific–Technical Cooperation Agreement. 3Supported by the MST and NNSF of China. 4Supported by the Postdoctoral Science Foundation and NYNSF (Grant 10001034) of China and by the Morningside Mathematics Center.",
year = "2002",
month = apr,
day = "1",
doi = "10.1006/jmaa.2001.7813",
language = "English (US)",
volume = "268",
pages = "184--199",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Academic Press Inc.",
number = "1",
}