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Quasi-neutral limit of the non-isentropic Euler–Poisson system
2006
Proceedings of the Royal Society of Edinburgh. Section A Mathematics
This paper is concerned with multi-dimensional non-isentropic Euler-Poisson equations for plasmas or semiconductors. By using the method of formal asymptotic expansions, we analyse the quasi-neutral limit for Cauchy problems with prepared initial data. It is shown that the small-parameter problems have unique solutions existing in the finite time interval where the corresponding limit problems have smooth solutions. Moreover, the formal limit is justified.
doi:10.1017/s0308210500004856
fatcat:xu4fxcq4jjd2tozcniseyehsdi