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Relaxation of the isothermal Euler-Poisson system to the Drift-Diffusion Equations (1998)  (Make Corrections)  (8 citations)
S. Junca, M. Rascle



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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" }
Citations (may not include all citations):
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44   Analyse fonctionnelle (context) - Brezis - 1983
30   Weak Solutions to a hydrodynamic model for semi- conductors:.. (context) - Marcati, Natalini
30   Weak solutions to a hydrodynamic model for semi- conductors .. (context) - Marcati, Natalini - 1995
13   Wien-New York (context) - Markowich, Ringhofer et al. - 1989
9   Convergence of the fractional step Lax- Friedrichs scheme an.. (context) - Ding, Chen et al. - 1989
6   Global Solutions to the Isothermal EulerPoisson System with .. (context) - Poupaud, Rascle et al. - 1979
5   Existence and the singular relaxation limit for the inviscid.. (context) - Chen, Jerome et al. - 1996
4   Global solutions for an initial boundary value problem of a .. (context) - Nishida - 1968
3   Analyse convexe et problmes variationnels (context) - Ekeland, Temam - 1974
2   Convergence of the Godunov scheme for a simplified one dimen.. (context) - Zhang - 1992
2   Convergence of approximate solutions of conservation laws (context) - DiPerna - 1983
1   Optique gomtrique non lindaire (context) - Junca - 1995
1   Particle hydrodynamic moment models in biology and microelec.. (context) - Chen, Jerome et al. - 1996



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