Quasi-neutral limit of the Navier–Stokes–Fourier–Poisson system for ionic dynamics

ABSTRACT

In this paper, we consider the quasi-neutral limit of the compressible Navier–Stokes–Fourier–Poisson system in a periodic domain ${\mathbb{T}}^3$ with the well-prepared initial data. We prove that the weak solution of the compressible Navier–Stokes–Fourier–Possion system converges to the strong solution of the compressible Navier–Stokes–Fourier system as long as the latter exists.

KEYWORDS:

• Compressible Navier–Stoke–Fourier–Possion system
• compressible Navier–Stoke–Fourier system
• quasi-neutral limit

AMS SUBJECT CLASSIFICATIONS:

• Primary: 35Q35
• Secondary: 35B40

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

The work of the first author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education [NRF-2017R1D1A1B03030249]; the second author was supported in part by NSFC [grant number 11671193]; Fundamental Research Funds for the Central Universities [grant number 020314380014] and PAPD.