Convergence of the quantum Navier–Stokes–Poisson equations to the incompressible Euler equations for general initial data. (June 2015)

• Record Type: Journal Article
• Authors: Yang, Jianwei; Ju, Qiangchang
• Is Part Of: Nonlinear analysis. Volume 23(2015)
• Page Start: 148
• Page End: 159
• Publication Date: 2015-06
• Subjects: Quantum Navier–Stokes–Poisson equations -- Incompressible Euler equations -- Quasi-neutral limit -- Inviscid limit -- Vanishing damping coefficient; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2014.12.003
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: In this paper, we are concerned with the rigorous proof of the convergence of the quantum Navier–Stokes-Poisson system to the incompressible Euler equations via the combined quasi-neutral, vanishing damping coefficient and inviscid limits in the three-dimensional torus for general initial data. Furthermore, the convergence rates are obtained.