On the vanishing electron-mass limit in plasma hydrodynamics in unbounded media

0384705 - MÚ 2013 RIV US eng J - Journal Article
Donatelli, D. - Feireisl, Eduard - Novotný, A.
On the vanishing electron-mass limit in plasma hydrodynamics in unbounded media.
Journal of Nonlinear Science. Roč. 22, č. 6 (2012), s. 985-1012. ISSN 0938-8974. E-ISSN 1432-1467
R&D Projects: GA ČR GA201/09/0917
Institutional research plan: CEZ:AV0Z10190503
Keywords : vanishing electron mass limit * plasma hydrodynamics * compressible fluid
Subject RIV: BA - General Mathematics
Impact factor: 1.566, year: 2012
http://link.springer.com/article/10.1007%2Fs00332-012-9134-5

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.
Permanent Link: http://hdl.handle.net/11104/0214262