IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/857920.html
   My bibliography  Save this article

Attractor of Beam Equation with Structural Damping under Nonlinear Boundary Conditions

Author

Listed:
  • Danxia Wang
  • Jianwen Zhang
  • Yinzhu Wang
  • Sufang Zhang

Abstract

Simultaneously, considering the viscous effect of material, damping of medium, and rotational inertia, we study a kind of more general Kirchhoff-type extensible beam equation with the structural damping and the rotational inertia term. Little attention is paid to the longtime behavior of the beam equation under nonlinear boundary conditions. In this paper, under nonlinear boundary conditions, we prove not only the existence and uniqueness of global solutions by prior estimates combined with some inequality skills, but also the existence of a global attractor by the existence of an absorbing set and asymptotic compactness of corresponding solution semigroup. In addition, the same results also can be proved under the other nonlinear boundary conditions.

Suggested Citation

  • Danxia Wang & Jianwen Zhang & Yinzhu Wang & Sufang Zhang, 2015. "Attractor of Beam Equation with Structural Damping under Nonlinear Boundary Conditions," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-10, February.
    • Handle: RePEc:hin:jnlmpe:857920
    DOI: 10.1155/2015/857920
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2015/857920.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2015/857920.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2015/857920?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
    ---><---

    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:hin:jnlmpe:857920. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.