IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i3p366-d733425.html
   My bibliography  Save this article

Structural Stability on the Boundary Coefficient of the Thermoelastic Equations of Type III

Author

Listed:
  • Xuejiao Chen

    (School of Data Science, Guangzhou Huashang College, Guangzhou 511300, China)

  • Yuanfei Li

    (School of Data Science, Guangzhou Huashang College, Guangzhou 511300, China)

Abstract

This paper investigates the spatial behavior of the solutions of thermoelastic equations of type III in a semi-infinite cylinder by using the partial differential inequalities. By setting an arbitrary positive constant in the energy expression, the fast decay rate of the solutions is obtained. Based on the results of decay, the continuous dependence and the convergence results on the boundary coefficient are established by using the differential inequality technique and the energy analysis method. The main work of this paper is to extend the study of continuous dependence to a semi-infinite cylinder, which can be used as a reference for the study of other types of partial differential equations.

Suggested Citation

  • Xuejiao Chen & Yuanfei Li, 2022. "Structural Stability on the Boundary Coefficient of the Thermoelastic Equations of Type III," Mathematics, MDPI, vol. 10(3), pages 1-18, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:366-:d:733425
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/3/366/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/3/366/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:10:y:2022:i:3:p:366-:d:733425. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.