Donatelli, Donatella; Feireisl, Eduard; Novotný, Antonín Scale analysis of a hydrodynamic model of plasma. (English) Zbl 1308.76339 Math. Models Methods Appl. Sci. 25, No. 2, 371-394 (2015). Summary: We examine a hydrodynamic model of the motion of ions in plasma in the regime of small Debye length, a small ratio of the ion/electron temperature, and high Reynolds number. We analyze the associated singular limit and identify the limit problem – the incompressible Euler system. The result leans on careful analysis of the oscillatory component of the solutions by means of Fourier analysis. Cited in 1 ReviewCited in 19 Documents MSC: 76X05 Ionized gas flow in electromagnetic fields; plasmic flow 35Q35 PDEs in connection with fluid mechanics Keywords:compressible Navier-Stokes-Poisson system; singular limit; quasi-neutral limit PDFBibTeX XMLCite \textit{D. Donatelli} et al., Math. Models Methods Appl. Sci. 25, No. 2, 371--394 (2015; Zbl 1308.76339) Full Text: DOI References: [1] DOI: 10.1016/j.crma.2013.04.025 · Zbl 1307.35180 · doi:10.1016/j.crma.2013.04.025 [2] DOI: 10.1007/s00332-012-9134-5 · Zbl 1259.35157 · doi:10.1007/s00332-012-9134-5 [3] DOI: 10.1088/0951-7715/21/1/008 · Zbl 1136.35068 · doi:10.1088/0951-7715/21/1/008 [4] DOI: 10.1007/s00205-012-0531-6 · Zbl 1256.35052 · doi:10.1007/s00205-012-0531-6 [5] DOI: 10.3934/dcds.2004.11.113 · Zbl 1080.35068 · doi:10.3934/dcds.2004.11.113 [6] Feireisl E., J. Math. Fluid Mech. 14 pp 712– (2012) [7] DOI: 10.1512/iumj.2011.60.4406 · Zbl 1248.35143 · doi:10.1512/iumj.2011.60.4406 [8] DOI: 10.1002/9780470436448 · doi:10.1002/9780470436448 [9] DOI: 10.1016/j.jfa.2007.12.010 · Zbl 1145.35032 · doi:10.1016/j.jfa.2007.12.010 [10] DOI: 10.1016/S0294-1449(99)00101-8 · Zbl 0956.35010 · doi:10.1016/S0294-1449(99)00101-8 [11] DOI: 10.1016/0022-1236(84)90024-7 · Zbl 0545.76007 · doi:10.1016/0022-1236(84)90024-7 [12] Krall N. A., Principle of Plasma Physics (1973) [13] DOI: 10.1007/978-3-7091-3678-2 · doi:10.1007/978-3-7091-3678-2 [14] DOI: 10.1007/978-3-7091-6961-2 · doi:10.1007/978-3-7091-6961-2 [15] DOI: 10.1016/S0294-1449(00)00123-2 · Zbl 0991.35058 · doi:10.1016/S0294-1449(00)00123-2 [16] Stein E. M., Singular Integrals and Differential Properties of Functions (1970) · Zbl 0207.13501 [17] DOI: 10.1080/03605300500361487 · Zbl 1137.35416 · doi:10.1080/03605300500361487 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.