齐次Fourier-Besov-Morrrey空间上MHD的存在性和渐近稳定性

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齐次Fourier-Besov-Morrrey空间上MHD的存在性和渐近稳定性杨明华江西财经大学信息管理学院, 南昌 330032 Existence and Asymptotic Stability for the Generalized Magneto-Hydrodynamic Equations Generalized Magneto-Hydrodynamic Equations in Fourier-Besov-Morrrey Spaces YANG MinghuaSchool of Information Technology, Jiangxi University of Finance and Economics, Nanchang 330032, China

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摘要考虑了Rⁿ上n维广义磁流体力学方程组，当初值（u₀，d₀）∈FṄ_r，λ，∞^-β×FṄ_r，λ，∞^-β时，广义磁流体力学方程组对应的Cauchy问题的存在性和渐近稳定性，其中1≤r≤∞，0< λ< n或者 1< r≤∞，λ=0以及 n≥3，1/2<σ=α< n+2/4-n-λ/4r，β=2σ-1+n-λ/r-n.最后，得到了广义磁流体力学方程组一类自相似解的渐近稳定性.

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收稿日期: 2015-03-05

PACS:

O175.29

引用本文:

杨明华. 齐次Fourier-Besov-Morrrey空间上MHD的存在性和渐近稳定性[J]. 应用数学学报, 2016, 39(5): 748-761. YANG Minghua. Existence and Asymptotic Stability for the Generalized Magneto-Hydrodynamic Equations Generalized Magneto-Hydrodynamic Equations in Fourier-Besov-Morrrey Spaces. Acta Mathematicae Applicatae Sinica, 2016, 39(5): 748-761.

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