Blow-up of solutions to quantum hydrodynamic models in half space

被引：9

作者：

Guo, Boling ^{[1
]}

Wang, Guangwu ^{[2
]}

机构：

[1] China Acad Engn Phys, Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

[2] China Acad Engn Phys, Grad Sch, Beijing 100088, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2017年 / 58卷 / 03期

关键词：

COMPRESSIBLE FLUID; SMOOTH SOLUTIONS; SINGULARITIES; EXISTENCE; EQUATIONS; SYSTEM;

D O I：

10.1063/1.4978331

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we prove that any smooth solutions of quantum hydrodynamic model which satisfies suitable conditions will blow up in finite time in half space. This model can be considered as the compressible Euler equation with quantum potential. The main ideal is based on the construction of energy inequality.

引用

页数：11

共 28 条

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