(Enter summary)
Abstract: We consider the one dimensional Euler-Poisson system, in the isothermal
case, with a fi'iction coefficient e -. When e --> 0+, we show that the sequence of entropyadmissible
weak solutions constructed in [PRV] converges to the solution to the drift-diffusion
equations. We use the scaling introduced in [MN2], who proved a quite similar result in the
isentropic case, using the theory of compensated compactness. On one hand this theory
cannot be used in our case, on the other hand, exploiting the... (Update)
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BibTeX entry: (Update)
S. Junca and M. Rascle. Relaxation of the isothermal Euler-Poisson system to the drift-diffusion equations. To appear in Quart. Appl. Math., 1998. http://citeseer.ist.psu.edu/junca98relaxation.html More
@misc{ junca98relaxation,
author = "S. Junca and M. Rascle",
title = "Relaxation of the isothermal Euler-Poisson system to the drift-diffusion
equations",
text = "S. Junca and M. Rascle. Relaxation of the isothermal Euler-Poisson system
to the drift-diffusion equations. To appear in Quart. Appl. Math., 1998.",
year = "1998",
url = "citeseer.ist.psu.edu/junca98relaxation.html" }
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