The zero limits of angular and micro-rotational viscosities for the two-dimensional micropolar fluid equations with boundary effect

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	The zero limits of angular and micro-rotational viscosities for the two-dimensional micropolar fluid equations with boundary effect
	Chen, Mingt ; Xu, Xinying ; Zhang, Jianwen ; Chen MT(陈明涛) ; Xu XY(徐新英) ; Zhang JW(张剑文)
刊名	http://dx.doi.org/10.1007/s00033-013-0345-x
	2013
关键词	Initial value problems Nonlinear analysis Two dimensional
英文摘要	This paper deals with an initial-boundary value problem to the two-dimensional equations of incompressible micropolar fluids. We first prove that as the angular and micro-rotational viscosities go to zero (i.e., {Mathematical expression}), the solution converges to a global weak solution of the original equations with zero angular and micro-rotational viscosities. Convergence rates are also obtained. Then, we study the boundary effects and prove that a boundary-layer thickness is of the value {Mathematical expression} with {Mathematical expression}, provided {Mathematical expression} . ? 2013 Springer Basel.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91177]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Chen, Mingt,Xu, Xinying,Zhang, Jianwen,et al. The zero limits of angular and micro-rotational viscosities for the two-dimensional micropolar fluid equations with boundary effect[J]. http://dx.doi.org/10.1007/s00033-013-0345-x,2013.
APA	Chen, Mingt,Xu, Xinying,Zhang, Jianwen,陈明涛,徐新英,&张剑文.(2013).The zero limits of angular and micro-rotational viscosities for the two-dimensional micropolar fluid equations with boundary effect.http://dx.doi.org/10.1007/s00033-013-0345-x.
MLA	Chen, Mingt,et al."The zero limits of angular and micro-rotational viscosities for the two-dimensional micropolar fluid equations with boundary effect".http://dx.doi.org/10.1007/s00033-013-0345-x (2013).