Convergence of the quantum Navier-Stokes-Poisson equations to the incompressible Euler equations for general initial data

被引：12

作者：

Yang, Jianwei ^{[1
]}

Ju, Qiangchang ^{[1
]}

机构：

[1] North China Univ Water Resources & Elect Power, Coll Math & Informat Sci, Zhengzhou 450045, Henan Province, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2015年 / 23卷

基金：

中国国家自然科学基金;

关键词：

Quantum Navier Stokes Poisson equations; Incompressible Euler equations; Quasi-neutral limit; Inviscid limit; Vanishing damping coefficient; HYDRODYNAMIC EQUATIONS; WEAK SOLUTIONS; SYSTEM; MODEL; DERIVATION; EXISTENCE; LIMIT;

D O I：

10.1016/j.nonrwa.2014.12.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：148 / 159

页数：12

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