This paper is a first attempt to describe the quasineutral limit for a Navier-Stokes-Poisson system where the thermal effects are taken into consideration. In the framework of weak solutions and ill-prepared data, we show that as λ → 0 the velocity field u λ strongly converges towards an incompressible velocity vector field u, the density fluctuation n λ − 1 weakly converges to zero and the temperature equation converges towards the so called Fourier equation. We shall provide a detailed mathematical description of the convergence process by analyzing the acoustic equations, by using microlocal defect measures and by developing an explicit correctors analysis.
The Quasineutral Limit for the Navier-Stokes-Fourier-Poisson System
PIERANGELO
2014-01-01
Abstract
This paper is a first attempt to describe the quasineutral limit for a Navier-Stokes-Poisson system where the thermal effects are taken into consideration. In the framework of weak solutions and ill-prepared data, we show that as λ → 0 the velocity field u λ strongly converges towards an incompressible velocity vector field u, the density fluctuation n λ − 1 weakly converges to zero and the temperature equation converges towards the so called Fourier equation. We shall provide a detailed mathematical description of the convergence process by analyzing the acoustic equations, by using microlocal defect measures and by developing an explicit correctors analysis.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
