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Global existence and decay of smooth solutions for the 3-D MHD-type equations without magnetic diffusion 被引量：3

Global existence and decay of smooth solutions for the 3-D MHD-type equations without magnetic diffusion
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摘要 We study the large time behavior of a 3-D MHD(magneto-hydrodynamical)-type system without magnetic diffusion introduced by Lin and Zhang(2014). By using the elementary energy method and interpolation technique, we prove the global existence and decay estimate of smooth solution near the equilibrium state(x3, 0). We study the large time behavior of a 3-D MHD （magneto-hydrodynamical）-type system without magnetic diffusion introduced by Lin and Zhang （2014）. By using the elementary energy method and interpolation technique, we prove the global existence and decay estimate of smooth solution near the equilibrium state （x3,0）.
作者 REN XiaoXia XIANG ZhaoYin ZHANG ZhiFei
机构地区 School of Mathematical Sciences School of Mathematical Sciences
出处 《Science China Mathematics》 SCIE CSCD 2016年第10期1949-1974,共26页 中国科学：数学（英文版）
基金 supported by National Natural Science Foundation of China (Grant Nos. 11371039 and 11425103)
关键词 global existence decay estimates magneto^hydrodynamical equations zero magnetic diffusion 扩散方程 衰减估计 光滑解 解的存在性 无磁 三维 HD型 磁流体动力学
分类号 O175 [理学—基础数学]
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参考文献25

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同被引文献33

  • 1QuanSenJIU,ChengHE.Remarks on the Regularity to 3-D Ideal Magnetohydrodynamic Equations[J].Acta Mathematica Sinica,English Series,2004,20(4):695-708. 被引量：11
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  • 6HE C,HUANG X,WANG Y. On some new global existence results for 3D magnetohydrodynamic equations [ J I. Nonlinearity, 2014,27:343-352.
  • 7JIU Q,LIU I. Global regularity for the 3D axisymmetric MHD Equations with horizontal dissipation and vertical magnetic diffu-sion [ J ]. Disc. Cont. Dyn. Sys. -Series A ,2015,35:301-322.
  • 8CAO C,WU J. Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion [ J]. Adv. Math. ,2011,226 : 1803-1822.
  • 9CAO C, REGMI D, WU J. The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion [ J~. J. Differ- ential Equations ,2013,254:2661-2681.
  • 10DU L,ZHOU D. Global well-posedness of two-dimensional magnetohydrodynamic flows with partial dissipation and magnetic dif- fusion [J~. SIAM J. Math. Anal. ,2015,47:1562-1589.

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Science China Mathematics
2016年 第10期

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