Yang, Jianwei; Gao, Qinghua; Zhang, Qingnian Scaling limits of non-isentropic Euler-Maxwell equations for plasmas. (English) Zbl 1264.35171 Adv. Difference Equ. 2011, Paper No. 22 (2011). Summary: In this paper, we will discuss asymptotic limit of non-isentropic compressible Euler-Maxwell system arising from plasma physics. Formally, we give some different limit systems according to the corresponding different scalings. Furthermore, some recent results about the convergence of non-isentropic compressible Euler-Maxwell system to the compressible Euler-Poisson equations will be given via the non-relativistic regime. Cited in 1 Document MSC: 35Q31 Euler equations 35Q61 Maxwell equations 82D10 Statistical mechanics of plasmas 35Q05 Euler-Poisson-Darboux equations Keywords:non-isentropic Euler-Maxwell system; asymptotic limit; convergence PDFBibTeX XMLCite \textit{J. Yang} et al., Adv. Difference Equ. 2011, Paper No. 22 (2011; Zbl 1264.35171) Full Text: DOI References: [1] Chen F: Introduction to Plasma Physics and Controlled Fusion.Volume 1. Plenum Press, New York; 1984. [2] Jerome JW: The Cauchy problem for compressible hydrodynamic-Maxwell systems: a local theory for smooth solutions.Diff Integral Equ 2003, 16:1345-1368. · Zbl 1074.76062 [3] Dinklage A, Klinger T, Marx G, Schweikhard L: Plasma Physics. Lecture Notes in Physics.Volume 670. Springer, Berlin; 2005. · Zbl 1083.76002 [4] Peng YJ, Wang S: Convergence of compressible Euler-Maxwell equations to compressible Euler-Poisson equations.Chin Ann Math 2007,28(B):583-602. · Zbl 1145.35347 [5] Peng YJ, Wang S: Convergence of compressible Euler-Maxwell equations to incompressible Eule equations.J Comm PDE 2008, 33:349-476. · Zbl 1145.35054 · doi:10.1080/03605300701318989 [6] Yang JW, Wang S: The non-relativistic limit of Euler-Maxwell equations for two-fluid plasma.Nonlinear Anal Theory Methods Appl 2010, 72:1829-1840. · Zbl 1184.35265 · doi:10.1016/j.na.2009.09.024 [7] Yang JW, Wang S: Convergence of the nonisentropic Euler-Maxwell equations to compressible Euler-Poisson equations.J Math Phys 2009, 50:123508. · Zbl 1373.35260 · doi:10.1063/1.3267863 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.