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Self-similar solutions of the magnetohydrodynamic boundary layer system for a non-dilatable fluid
Zhang, Zhongxin ; Zhang ZX(张中新)
刊名http://dx.doi.org/10.1007/s00033-008-7002-9
2009-07
关键词POWER-LAW FLUIDS TRANSVERSE MAGNETIC-FIELD LAMINAR-FILM FLOW VERTICAL WALLS EQUATIONS SURFACE
英文摘要A rigorous mathematical analysis is given for a magnetohydrodynamic boundary layer problem, which arises in the study of self-similar solutions of the two-dimensional steady laminar boundary layer flow for an incompressible electrically conducting non-dilatable fluid (i.e., a Newtonian fluid or a pseudo-plastic one) along an isolated surface in the presence of an exterior magnetic field orthogonal to the flow. For this problem, only a normal solution has the physical meaning. The uniqueness, existence, and nonexistence results for normal solutions are established. Also the asymptotic behavior of the normal solution at the infinity is displayed.
语种英语
内容类型期刊论文
源URL[http://dspace.xmu.edu.cn/handle/2288/66215]  
专题数学科学-已发表论文
推荐引用方式
GB/T 7714
Zhang, Zhongxin,Zhang ZX. Self-similar solutions of the magnetohydrodynamic boundary layer system for a non-dilatable fluid[J]. http://dx.doi.org/10.1007/s00033-008-7002-9,2009.
APA Zhang, Zhongxin,&张中新.(2009).Self-similar solutions of the magnetohydrodynamic boundary layer system for a non-dilatable fluid.http://dx.doi.org/10.1007/s00033-008-7002-9.
MLA Zhang, Zhongxin,et al."Self-similar solutions of the magnetohydrodynamic boundary layer system for a non-dilatable fluid".http://dx.doi.org/10.1007/s00033-008-7002-9 (2009).
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