# Global existence of the three-dimensional viscous quantum magnetohydrodynamic model

## Abstract

The global-in-time existence of weak solutions to the viscous quantum Magnetohydrodynamic equations in a three-dimensional torus with large data is proved. The global existence of weak solutions to the viscous quantum Magnetohydrodynamic equations is shown by using the Faedo-Galerkin method and weak compactness techniques.

- Authors:

- College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450045, Henan Province (China)
- Institute of Applied Physics and Computational Mathematics, P.O. Box 8009-28, Beijing 100088 (China)

- Publication Date:

- OSTI Identifier:
- 22306074

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 8; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; MAGNETOHYDRODYNAMICS; MATHEMATICAL SOLUTIONS; NUMERICAL ANALYSIS; QUANTUM MECHANICS; THREE-DIMENSIONAL CALCULATIONS; VISCOSITY

### Citation Formats

```
Yang, Jianwei, E-mail: yangjianwei@ncwu.edu.cn, and Ju, Qiangchang, E-mail: qiangchang-ju@yahoo.com.
```*Global existence of the three-dimensional viscous quantum magnetohydrodynamic model*. United States: N. p., 2014.
Web. doi:10.1063/1.4891492.

```
Yang, Jianwei, E-mail: yangjianwei@ncwu.edu.cn, & Ju, Qiangchang, E-mail: qiangchang-ju@yahoo.com.
```*Global existence of the three-dimensional viscous quantum magnetohydrodynamic model*. United States. doi:10.1063/1.4891492.

```
Yang, Jianwei, E-mail: yangjianwei@ncwu.edu.cn, and Ju, Qiangchang, E-mail: qiangchang-ju@yahoo.com. Fri .
"Global existence of the three-dimensional viscous quantum magnetohydrodynamic model". United States. doi:10.1063/1.4891492.
```

```
@article{osti_22306074,
```

title = {Global existence of the three-dimensional viscous quantum magnetohydrodynamic model},

author = {Yang, Jianwei, E-mail: yangjianwei@ncwu.edu.cn and Ju, Qiangchang, E-mail: qiangchang-ju@yahoo.com},

abstractNote = {The global-in-time existence of weak solutions to the viscous quantum Magnetohydrodynamic equations in a three-dimensional torus with large data is proved. The global existence of weak solutions to the viscous quantum Magnetohydrodynamic equations is shown by using the Faedo-Galerkin method and weak compactness techniques.},

doi = {10.1063/1.4891492},

journal = {Journal of Mathematical Physics},

number = 8,

volume = 55,

place = {United States},

year = {Fri Aug 15 00:00:00 EDT 2014},

month = {Fri Aug 15 00:00:00 EDT 2014}

}

DOI: 10.1063/1.4891492

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