Blow-up of the smooth solution to the IBVP of three-dimensional quantum hydrodynamic models

被引：1

作者：

Dong, Jianwei ^{[1
]}

Xue, Hongxia ^{[1
]}

Zhu, Junhui ^{[1
]}

机构：

[1] Zhengzhou Univ Aeronaut, Sch Math & Phys, Zhengzhou 450015, Henan, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2019年 / 181卷

基金：

中国国家自然科学基金;

关键词：

Quantum hydrodynamic model; Smooth solution; Blow-up; EXISTENCE; SYSTEM;

D O I：

10.1016/j.na.2018.11.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The initial-boundary value problem for three-dimensional quantum hydrodynamic models is considered outside a unit ball. It is proved that the smooth solution will blow up in a finite time provided that a weighed functional associated with the initial momentum is large. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：1 / 8

页数：8

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