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 : 33,00 € Taxes included to order
    Pages Iconography Videos Other
    5 0 0 0

Comptes Rendus Mathématique
Volume 357, n° 2
pages 175-179 (février 2019)
Doi : 10.1016/j.crma.2018.12.007
Received : 10 May 2017 ;  accepted : 1 December 2018
Frequency decay for Navier–Stokes stationary solutions
Décroissance fréquentielle pour les équations de Navier–Stokes stationnaires

Diego Chamorro , Oscar Jarrín , Pierre-Gilles Lemarié-Rieusset
 Laboratoire de mathématiques et modélisation d'Évry (LaMME), Université d'Évry-Val-d'Essonne, UMR CNRS 8071, 23, boulevard de France, 91037 Évry cedex, France 


We consider stationary Navier–Stokes equations in   with a regular external force and we prove the exponential frequency decay of the solutions. Moreover, if the external force is small enough, we give a pointwise exponential frequency decay for such solutions. If a damping term is added to the equation, a pointwise decay is obtained without the smallness condition over the force.

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

Pour une force extérieure quelconque, mais suffisamment régulière, on démontre la décroissance fréquentielle des solutions de ces équations. Si, de plus, la force est petite, on peut décrire ponctuellement cette décroissance. La condition de petitesse de la force peut être supprimée si l'on rajoute un terme d'amortissement.

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

© 2019  Published by Elsevier Masson SAS de la part de Académie des sciences.
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 You may thus request that your data, should it be inaccurate, incomplete, unclear, outdated, not be used or stored, be corrected, clarified, updated or deleted.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