IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-031-07171-3_5.html
   My bibliography  Save this book chapter

Mapping Properties of Potential Operators Related to the 2D Compressible Stokes System in Weighted Sobolev Spaces

In: Integral Methods in Science and Engineering

Author

Listed:
  • M. A. Dagnaw

    (Injibara University)

  • C. Fresneda-Portillo

    (Universidad Loyola Andalucía)

Abstract

We derive a boundary-domain integral equation system equivalent to the Dirichlet boundary value problem for the stationary compressible Stokes equations with variable viscosity coefficient in an exterior 2D domain. To obtain the system of integral equations, we obtain integral representation of the solution using a parametrix. The solution is thus written in terms of domain and surface potential operators whose mapping properties are analysed in weighted Sobolev spaces. The main results relate to the equivalence between the integral equation system obtained and the original Stokes problem.

Suggested Citation

  • M. A. Dagnaw & C. Fresneda-Portillo, 2022. "Mapping Properties of Potential Operators Related to the 2D Compressible Stokes System in Weighted Sobolev Spaces," Springer Books, in: Christian Constanda & Bardo E.J. Bodmann & Paul J. Harris (ed.), Integral Methods in Science and Engineering, chapter 0, pages 67-83, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-07171-3_5
    DOI: 10.1007/978-3-031-07171-3_5
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    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:spr:sprchp:978-3-031-07171-3_5. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.