On the irrotational flow of incompressible ideal fluid in a circular domain with free surface

On the irrotational flow of incompressible ideal fluid in a circular domain with free surface
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自由表面圆形域内不可压缩理想流体的无旋流动

DOI:
10.2977/prims/1195144422
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发表时间:
1998
影响因子:
1.2
通讯作者:
T. Iguchi
T. Iguchi
中科院分区:
数学3区
文献类型:
--
作者:
T. Iguchi

文献摘要

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我们研究具有自由表面的二维圆形域中不可压缩理想流体的无旋稳态流动。假设障碍物是完全圆形的,并且存在表面张力,稳态解被研究为分叉问题。在本文中,不考虑表面张力,对于非圆形障碍物,我们分析了接近分叉点的解集,以弗劳德数作为驱动参数。
We study irrotational steady flows of an incompressible ideal fluid in a two-dimensional circular domain, with free surface. Stationary solutions have been studied as bifurcation problems assuming the obstacle exactly circular, and in the presence of surface tension. In this paper, disregarding the surface tension, for non circular obstacles, we analize the set of solutions close to bifurcation points letting the Froud number as driving parameter.