IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2011y2011i1n369571.html

Asymptotic Behavior of the Navier‐Stokes Equations with Nonzero Far‐Field Velocity

Author

Listed:
  • Jaiok Roh

Abstract

Concerning the nonstationary Navier‐Stokes flow with a nonzero constant velocity at infinity, the temporal stability has been studied by Heywood (1970, 1972) and Masuda (1975) in L2 space and by Shibata (1999) and Enomoto‐Shibata (2005) in Lp spaces for p ≥ 3. However, their results did not include enough information to find the spatial decay. So, Bae‐Roh (2010) improved Enomoto‐Shibata′s results in some sense and estimated the spatial decay even though their results are limited. In this paper, we will prove temporal decay with a weighted function by using Lr − Lp decay estimates obtained by Roh (2011). Bae‐Roh (2010) proved the temporal rate becomes slower by (1 + σ)/2 if a weighted function is |x|σ for 0

Suggested Citation

  • Jaiok Roh, 2011. "Asymptotic Behavior of the Navier‐Stokes Equations with Nonzero Far‐Field Velocity," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    • Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:369571
    DOI: 10.1155/2011/369571
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2011/369571
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2011/369571?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Jaiok Roh, 2011. "Lr‐Lp Stability of the Incompressible Flows with Nonzero Far‐Field Velocity," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      More about this item

      Statistics

      Access and download statistics

      Corrections

      All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:369571. See general information about how to correct material in RePEc.

      If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

      If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

      For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

      Please note that corrections may take a couple of weeks to filter through the various RePEc services.

      IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.