Abstract
Are there any three-dimensional velocity field of inviscid fluid with finite energy such that the velocity field becomes singular within a finite time T? This is a challenging problem in the mathematical theory of fluid dynamics. This problem has been investigated by many authors using phenomenological models ([1], [2]) or direct numerical simulations ([3], [4]) but yet we do not get conclusive result.
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References
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© 1998 Springer Science+Business Media Dordrecht
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Fukuyu, A. (1998). Interaction of Two Vortex Tubes and the Singularity Formation. In: Krause, E., Gersten, K. (eds) IUTAM Symposium on Dynamics of Slender Vortices. Fluid Mechanics and Its Applications, vol 44. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5042-2_17
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DOI: https://doi.org/10.1007/978-94-011-5042-2_17
Publisher Name: Springer, Dordrecht
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