On the Vanishing Electron-Mass Limit in Plasma Hydrodynamics in Unbounded Media |
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Authors: | Donatella Donatelli Eduard Feireisl Antonín Novotny |
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Institution: | 1. Dipartimento di Matematica Pura ed Applicata, Universit?? degli Studi dell??Aquila, 67 100, L??Aquila, Italy 2. Institute of Mathematics of the Academy of Sciences of the Czech Republic, ?itn?? 25, 115 67, Praha 1, Czech Republic 3. Universit?? du Sud Toulon-Var, BP 20132, 839 57, La Garde, France
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Abstract: | We consider the zero-electron-mass limit for the Navier?CStokes?CPoisson 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?CStokes 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?CStokes system. |
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