Scale analysis of a hydrodynamic model of plasma-Reference-Cited by-同舟云学术

Scale analysis of a hydrodynamic model of plasma

Published:2014-11-24 Issue:02 Volume:25 Page:371-394
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

Donatelli Donatella¹,Feireisl Eduard²,Novotný Antonín³

Affiliation:

1. Department of Information Engineering, Computer Science and Mathematics, University of L'Aquila, 67100 L'Aquila, Italy

2. Institute of Mathematics, Academy of Sciences, Žitná 25, 115 67 Praha 1, Czech Republic

3. IMATH, EA 2134, Université du Sud Toulon-Var, BP 20132, 83957 La Garde, France

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021820251550013X

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