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This article is cited in 39 scientific papers (total in 39 papers)
Axisymmetric incompressible flows with bounded vorticity
R. Danchin Centre de Mathematiques de l'Universite Paris XII Val de Marne
Abstract:
This paper is devoted to the proof of global existence and uniqueness results for the three-dimensional incompressible Euler equations with a particular geometrical structure. The focus is on so-called axisymmetric solutions without swirl and on helicoidal solutions. The aim is to prescribe regularity conditions on the vorticity as close as possible to those formulated in the two-dimensional setting by V. I. Yudovich.
Received: 06.02.2007
Citation:
R. Danchin, “Axisymmetric incompressible flows with bounded vorticity”, Uspekhi Mat. Nauk, 62:3(375) (2007), 73–94; Russian Math. Surveys, 62:3 (2007), 475–496
Linking options:
https://www.mathnet.ru/eng/rm6761https://doi.org/10.1070/RM2007v062n03ABEH004412 https://www.mathnet.ru/eng/rm/v62/i3/p73
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Abstract page: | 702 | Russian version PDF: | 332 | English version PDF: | 42 | References: | 97 | First page: | 2 |
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