# Dynamical behavior for the three-dimensional generalized Hasegawa-Mima equations

## Abstract

The long time behavior of solution of the three-dimensional generalized Hasegawa-Mima [Phys. Fluids 21, 87 (1978)] equations with dissipation term is considered. The global attractor problem of the three-dimensional generalized Hasegawa-Mima equations with periodic boundary condition was studied. Applying the method of uniform a priori estimates, the existence of global attractor of this problem was proven, and also the dimensions of the global attractor are estimated.

- Authors:

- College of Mathematics and Information Science, Henan University, Kaifeng 475001 (China)
- (China)

- Publication Date:

- OSTI Identifier:
- 20929616

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Mathematical Physics; Journal Volume: 48; Journal Issue: 1; Other Information: DOI: 10.1063/1.2424559; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ATTRACTORS; BOUNDARY CONDITIONS; BOUNDARY LAYERS; EQUATIONS; ION ACOUSTIC WAVES; MATHEMATICAL SOLUTIONS; PERIODICITY; PLASMA; PLASMA DRIFT; PLASMA INSTABILITY; PLASMA SIMULATION; THREE-DIMENSIONAL CALCULATIONS

### Citation Formats

```
Zhang Ruifeng, Guo Boling, and Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088.
```*Dynamical behavior for the three-dimensional generalized Hasegawa-Mima equations*. United States: N. p., 2007.
Web. doi:10.1063/1.2424559.

```
Zhang Ruifeng, Guo Boling, & Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088.
```*Dynamical behavior for the three-dimensional generalized Hasegawa-Mima equations*. United States. doi:10.1063/1.2424559.

```
Zhang Ruifeng, Guo Boling, and Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088. Mon .
"Dynamical behavior for the three-dimensional generalized Hasegawa-Mima equations". United States.
doi:10.1063/1.2424559.
```

```
@article{osti_20929616,
```

title = {Dynamical behavior for the three-dimensional generalized Hasegawa-Mima equations},

author = {Zhang Ruifeng and Guo Boling and Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088},

abstractNote = {The long time behavior of solution of the three-dimensional generalized Hasegawa-Mima [Phys. Fluids 21, 87 (1978)] equations with dissipation term is considered. The global attractor problem of the three-dimensional generalized Hasegawa-Mima equations with periodic boundary condition was studied. Applying the method of uniform a priori estimates, the existence of global attractor of this problem was proven, and also the dimensions of the global attractor are estimated.},

doi = {10.1063/1.2424559},

journal = {Journal of Mathematical Physics},

number = 1,

volume = 48,

place = {United States},

year = {Mon Jan 15 00:00:00 EST 2007},

month = {Mon Jan 15 00:00:00 EST 2007}

}

DOI: 10.1063/1.2424559

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.