dc.date.accessioned | 2021-08-23T22:53:59Z | |
dc.date.accessioned | 2022-10-19T00:22:17Z | |
dc.date.available | 2021-08-23T22:53:59Z | |
dc.date.available | 2022-10-19T00:22:17Z | |
dc.date.created | 2021-08-23T22:53:59Z | |
dc.date.issued | 2017 | |
dc.identifier | http://hdl.handle.net/10533/251294 | |
dc.identifier | 1150066 | |
dc.identifier | WOS:000412544100001 | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4482557 | |
dc.description.abstract | It is shown that the self-similar ansatz proposed by T. Hou and G. Luo to describe a singular solution of the 3D axisymmetric Euler equations leads, without assuming any asymptotic condition on the self-similar profiles, to an overdetermined system of partial differential equations that produces two families of solutions: a class of trivial solutions in which the vorticity field is identically zero, and a family of solutions that blow-up immediately, where the vorticity field is governed by a stationary regime. In any case, the analytical properties of these solutions are not consistent with the numerical observations reported by T. Hou and G. Luo. Therefore, this result is a refinement of the previous work published by D. Chae and T.-P. Tsai on this matter, where the authors found the trivial class of solutions under a certain decay condition of the blow-up profiles. Keywords Author Keywords:Euler equations. | |
dc.description.abstract | Finite time blow-up | |
dc.description.abstract | Luo-Hou's ansatz | |
dc.description.abstract | Self-similar solution | |
dc.language | eng | |
dc.relation | https://doi.org/10.1007/s00332-017-9363-8 | |
dc.relation | handle/10533/111557 | |
dc.relation | 10.1007/s00332-017-9363-8 | |
dc.relation | handle/10533/111541 | |
dc.relation | handle/10533/108045 | |
dc.rights | info:eu-repo/semantics/article | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.rights | Atribución-NoComercial-SinDerivadas 3.0 Chile | |
dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
dc.title | Further Remarks on the Luo-Hou's Ansatz for a Self-similar Solution to the 3D Euler Equations | |
dc.type | Articulo | |