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On the vanishing electron-mass limit in plasma hydrodynamics in unbounded media
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SYSNO ASEP 0384705 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On the vanishing electron-mass limit in plasma hydrodynamics in unbounded media Author(s) Donatelli, D. (IT)
Feireisl, Eduard (MU-W) RID, SAI, ORCID
Novotný, A. (FR)Source Title Journal of Nonlinear Science. - : Springer - ISSN 0938-8974
Roč. 22, č. 6 (2012), s. 985-1012Number of pages 18 s. Language eng - English Country US - United States Keywords vanishing electron mass limit ; plasma hydrodynamics ; compressible fluid Subject RIV BA - General Mathematics R&D Projects GA201/09/0917 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000312200000005 EID SCOPUS 84879605696 DOI 10.1007/s00332-012-9134-5 Annotation We consider the zero-electron-mass limit for the Navier–Stokes–Poisson system in unbounded spatial domains. Assuming smallness of the viscosity coefficient and ill-prepared initial data, we show that the asymptotic limit is represented by the incompressible Navier–Stokes system, with a Brinkman damping, in the case when viscosity is proportional to the electron-mass, and by the incompressible Euler system provided the viscosity is dominated by the electron mass. The proof is based on the RAGE theorem and dispersive estimates for acoustic waves, and on the concept of suitable weak solutions for the compressible Navier–Stokes system. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2013
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