On the initial-boundary value problem for a vortex filament in an external flow under the localized induction approximation
作者:
Takahiro Nishiyama,
期刊:
Transport Theory and Statistical Physics
(Taylor Available online 2000)
卷期:
Volume 29,
issue 3-5
页码: 615-623
ISSN:0041-1450
年代: 2000
DOI:10.1080/00411450008205897
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A vector equation describing the motion of a vortex filament in an external flow under the localized induction approximation is considered. The initial-boundary value problem for it is proved to have at least a solution when both ends of the filament are fixed. Unlike the case without an external flow, the stretch and shrink of the filament generally occur. But, for our solution, they are finite at any finite time.
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