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Title: 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:
;  [1];  [2]
  1. College of Mathematics and Information Science, Henan University, Kaifeng 475001 (China)
  2. (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}
}