Decay estimates of linearized micropolar fluid flows in R3 space with applications to L3-strong solutions

Decay estimates of linearized micropolar fluid flows in R3 space with applications to L3-strong solutions
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DOI:
10.1016/j.ijengsci.2006.06.003
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发表时间:
2006-08
影响因子:
6.6
通讯作者:
Zhimin Chen;W. Price
Zhimin Chen;W. Price
中科院分区:
工程技术1区
文献类型:
--
作者:
Zhimin Chen;W. Price

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通过分析论证,建立了三维线性化微极流体在全空间R3内流动的Lp− Lq估计.利用该估计证明了微极流体运动方程组L3-强小解的存在唯一性。得到了L3-强解的时间衰减估计。
Through analytical argument, the Lp−Lqestimate of a three-dimensional linearized micropolar fluid flow in the whole space R3is established. This estimate is used to show the existence and uniqueness of small L3-strong solutions of the micropolar fluid motion system. Sharp time decay estimates of the L3-strong solutions are derived.