IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i5p717-d1348223.html
   My bibliography  Save this article

Uniqueness of a Generalized Solution for a One-Dimensional Thermal Explosion Model of a Compressible Micropolar Real Gas

Author

Listed:
  • Angela Bašić-Šiško

    (Faculty of Engineering, University of Rijeka, Vukovarska 58, 51000 Rijeka, Croatia
    These authors contributed equally to this work.)

  • Ivan Dražić

    (Faculty of Engineering, University of Rijeka, Vukovarska 58, 51000 Rijeka, Croatia
    These authors contributed equally to this work.)

Abstract

In this paper, we analyze a quasi-linear parabolic initial-boundary problem describing the thermal explosion of a compressible micropolar real gas in one spatial dimension. The model contains five variables, mass density, velocity, microrotation, temperature, and the mass fraction of unburned fuel, while the associated problem contains homogeneous boundary conditions. The aim of this work is to prove the uniqueness theorem of the generalized solution for the mentioned initial-boundary problem. The uniqueness of the solution, together with the proven existence of the solution, makes the described initial-boundary problem theoretically consistent, which provides a basis for the development of numerical methods and the engineering application of the model.

Suggested Citation

  • Angela Bašić-Šiško & Ivan Dražić, 2024. "Uniqueness of a Generalized Solution for a One-Dimensional Thermal Explosion Model of a Compressible Micropolar Real Gas," Mathematics, MDPI, vol. 12(5), pages 1-18, February.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:5:p:717-:d:1348223
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/5/717/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/5/717/
    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:12:y:2024:i:5:p:717-:d:1348223. 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.