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

0384705 - MÚ 2013 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR GA201/09/0917
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: vanishing electron mass limit * plasma hydrodynamics * compressible fluid
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.566, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0214262