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Scaling limits of non-isentropic Euler-Maxwell equations for plasmas. (English) Zbl 1264.35171

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.

MSC:

35Q31 Euler equations
35Q61 Maxwell equations
82D10 Statistical mechanics of plasmas
35Q05 Euler-Poisson-Darboux equations
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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
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