| 三维广义磁流体方程组解的最优衰减率 |
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| 引用本文： | 南志杰,吴刚.三维广义磁流体方程组解的最优衰减率[J].数学学报,2018,61(1):1-18. |
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| 作者姓名： | 南志杰 吴刚 |
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| 作者单位： | 1. 北京航空航天大学数学与系统科学学院 北京 100194;
2. 嘉兴学院南湖学院数理与信息工程系 嘉兴 314001;
3. 中国科学院大学数学科学学院 北京 100190 |
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| 基金项目： | 国家自然科学基金资助项目（11101405）；浙江省教育厅科研项目（Y201330036） |
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| 摘 要： | 本文利用Fourier分解法首次建立了三维广义磁流体动力学方程组弱解的时间衰减估计,得到了该方程解关于时间衰减的上下界估计,并且获得了相应的最优代数衰减率.
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| 关 键 词： | 广义磁流体方程组 Fourier分解法 最优衰减率 |
Optimal Decay Estimates of Solutions to the Three-dimensional Generalized MHD Equations |
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| Zhi Jie NAN,Gang WU.Optimal Decay Estimates of Solutions to the Three-dimensional Generalized MHD Equations[J].Acta Mathematica Sinica,2018,61(1):1-18. |
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| Authors: | Zhi Jie NAN Gang WU |
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| Institution: | 1. School of Mathematics and Systems Science, Beihang University, Beijing 100194, P. R. China;
2. Department of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing 314001, P. R. China;
3. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100190, P. R. China |
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| Abstract: | We use Fourier-splitting method to establish the temporal decay estimates for weak solutions to the 3D generalized magneto-hydrodynamics equations firstly. We obtain not only the upper bounds estimates but also the lower bounds estimates of time decay for the solutions of these equations, moreover, the corresponding optimal algebraic time decay rates are found. |
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| Keywords: | GMHD equations Fourier-splitting method optimal decay rates |
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