
三维广义磁流体方程组解的最优衰减率
Optimal Decay Estimates of Solutions to the Three-dimensional Generalized MHD Equations
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.
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.
广义磁流体方程组 / Fourier分解法 / 最优衰减率 {{custom_keyword}} /
GMHD equations / Fourier-splitting method / optimal decay rates {{custom_keyword}} /
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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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