A Uniqueness Theorem for Incompressible Fluid Flows with Straight Streamlines
نویسندگان
چکیده
It is proven that the only incompressible Euler fluid flows with fixed straight streamlines are those generated by normal lines to a round sphere, circular cylinder or flat plane, flow being of point source, line source plane at infinity, respectively. The proof uses local differential geometry oriented congruences integrate equations explicitly.
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Article history: Received 16 April 2016 Received in revised form 14 July 2016 Accepted 20 July 2016 Available online 26 July 2016
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ژورنال
عنوان ژورنال: Journal of Mathematical Fluid Mechanics
سال: 2022
ISSN: ['1422-6952', '1422-6928']
DOI: https://doi.org/10.1007/s00021-022-00725-z