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On the vanishing electron-mass limit in plasma hydrodynamics in unbounded media
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SYSNO ASEP 0384705 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název On the vanishing electron-mass limit in plasma hydrodynamics in unbounded media Tvůrce(i) Donatelli, D. (IT)
Feireisl, Eduard (MU-W) RID, SAI, ORCID
Novotný, A. (FR)Zdroj.dok. Journal of Nonlinear Science. - : Springer - ISSN 0938-8974
Roč. 22, č. 6 (2012), s. 985-1012Poč.str. 18 s. Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova vanishing electron mass limit ; plasma hydrodynamics ; compressible fluid Vědní obor RIV BA - Obecná matematika CEP GA201/09/0917 GA ČR - Grantová agentura ČR CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000312200000005 EID SCOPUS 84879605696 DOI 10.1007/s00332-012-9134-5 Anotace 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. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2013
Počet záznamů: 1