Access to the text (HTML) Access to the text (HTML)
PDF Access to the PDF text

Access to the full text of this article requires a subscription.
  • If you are a subscriber, please sign in 'My Account' at the top right of the screen.

  • If you want to subscribe to this journal, see our rates

  • You can purchase this item in Pay Per ViewPay per View - FAQ : 30,00 € Taxes included to order
    Pages Iconography Videos Other
    6 0 0 0

Comptes Rendus Mathématique
Volume 340, n° 1
pages 31-36 (janvier 2005)
Doi : 10.1016/j.crma.2004.10.016
Received : 5 July 2004 ;  accepted : 15 October 2004
On the regularity up to the boundary in the theory of the Navier-Stokes equations with generalized impermeability conditions
Régularité conditionnelle jusquʼà la frontière du domaine en théorie des équations de Navier-Stokes associées à des conditions limites dʼimperméabilité généralisée

Jiří Neustupa a , Patrick Penel b
a Czech Technical University, Faculty of Mechanical Engineering, Department of Technical Mathematics, Karlovo nám. 13, 121 35 Praha 2, Czech Republic 
b Université du Sud, Toulon-Var, département de mathématique, BP 20132, 83957 La Garde, France 


In this Note, we extend sufficient conditions for regularity we described in our previous works so that they are valid not only in the interior, but up to the boundary of a flow field. The conditions are based on the integrability properties of either one of the eigenvalues of the rate of deformation tensor or one component of velocity. To cite this article: J. Neustupa, P. Penel, C. R. Acad. Sci. Paris, Ser. I 340 (2005).

The full text of this article is available in PDF format.

Dans cette Note, nous étendons jusquʼà la frontière du domaine spatial, les conditions suffisantes pour la régularité des solutions faibles des équations de Navier-Stokes que nous avions obtenues dans nos travaux précédents. Ces conditions sont basées sur les propriétés dʼintégrabilité ou bien dʼune des valeurs propres du tenseur de déformation, ou bien dʼune des composantes du champ de vitesse. Pour citer cet article : J. Neustupa, P. Penel, C. R. Acad. Sci. Paris, Ser. I 340 (2005).

The full text of this article is available in PDF format.

© 2004  Académie des sciences@@#104156@@
EM-CONSULTE.COM is registrered at the CNIL, déclaration n° 1286925.
As per the Law relating to information storage and personal integrity, you have the right to oppose (art 26 of that law), access (art 34 of that law) and rectify (art 36 of that law) your personal data. You may thus request that your data, should it be inaccurate, incomplete, unclear, outdated, not be used or stored, be corrected, clarified, updated or deleted.
Personal information regarding our website's visitors, including their identity, is confidential.
The owners of this website hereby guarantee to respect the legal confidentiality conditions, applicable in France, and not to disclose this data to third parties.
Article Outline
You can move this window by clicking on the headline