检索结果-南通市图书馆

On the Blowing up of Solutions to One-dimensional quantum navier-stokes equations

Acta Mathematicae Applicatae Sinica 2013年第4期29卷 855-860页

作者： Jian-wei DONG You-lin ZHANG Yan-ping WANG Department of Mathematics and Physics Zhengzhou Institute of Aeronautical Industry Management Library Zhengzhou Institute of Aeronautical Industry Management

The blow-up in finite time for the solutions to the initial-boundary value problem associated to the one-dimensional quantum navier-stokes equations in a bounded domain is proved. The model consists of the mass conservation equation and a momentum balance equation, including a nonlinear third-order differen- tial operator, with the quantum Bohm potential, and a density-dependent viscosity. It is shown that, under suitable boundary conditions and assumptions on the initial data, the solution blows up after a finite time, if the viscosity constant is not bigger than the scaled Planck constant. The proof is inspired by an observable constructed by Gamba, Gualdani and Zhang, which has been used to study the blowing up of solutions to quantum hydrodynamic models.

关键词： compressible quantum navier-stokes equations smooth solutions blow up

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

GLOBAL EXISTENCE OF WEAK SOLUTIONS TO THE THREE-DIMENSIONAL FULL compressible quantum equations

引用

Annals of Applied Mathematics 2018年第1期34卷 1-31页

作者： Boling Guo Binqiang Xie Institute of Applied Physics and Computational Math. Beijing 100088 PR China The Graduate School of China Academy of Engineering Physics Beijing 100088 PR China

We consider the quantum navier-stokes equations for the viscous, compressible, heat conducting fluids on the three-dimensional torus T3. The model is based on a system which is derived by Jungel, Matthes and Milisic [15]. We made some adjustment about the relation of the viscosities of quantum terms. The viscosities and the heat conductivity coefficient are allowed to depend on the density, and may vanish on the vacuum. By several levels of approxima- tion we prove the global-in-time existence of weak solutions for the large initial data.

关键词： global weak solution compressible quantum navier-stokes equations thermal conduction

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

欢迎您,

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

请选择保存的检索档案：

请选择收藏分类：

通借通还

欢迎您,

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：