Scale analysis of a hydrodynamic model of plasma

0435997 - MÚ 2016 RIV SG eng J - Článek v odborném periodiku
Donatelli, D. - Feireisl, Eduard - Novotný, A.
Scale analysis of a hydrodynamic model of plasma.
Mathematical Models and Methods in Applied Sciences. Roč. 25, č. 2 (2015), s. 371-394. ISSN 0218-2025. E-ISSN 1793-6314
Grant CEP: GA ČR GA13-00522S
Institucionální podpora: RVO:67985840
Klíčová slova: compressible Navier-Stokes-Poisson system * singular limit * quasi-neutral limit
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 3.084, rok: 2015
http://www.worldscientific.com/doi/abs/10.1142/S021820251550013X

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.
Trvalý link: http://hdl.handle.net/11104/0239827