Quasi-neutral limit of the non-isentropic Euler–Poisson system

Yue-Jun Peng, Ya-Guang Wang, Wen-An Yong
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