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Russian Mathematical Surveys, 2007, Volume 62, Issue 3, Pages 475–496
DOI: https://doi.org/10.1070/RM2007v062n03ABEH004412 (Mi rm6761) 		 
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
English version PDF (509 kB) Citations (39)
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DOI: https://doi.org/10.1070/RM2007v062n03ABEH004412
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
Russian version:
Uspekhi Matematicheskikh Nauk, 2007, Volume 62, Issue 3(375), Pages 73–94
DOI: https://doi.org/10.4213/rm6761
Bibliographic databases:
Document Type: Article
UDC: 517.958+531.3-1
MSC: Primary 35Q35, 76B03; Secondary 35B65, 35Q10, 35Q30, 76B47
Language: English
Original paper language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 39 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:333
    English version PDF:42
    References:97
    First page:2
     
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