IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v356y2019icp392-410.html
   My bibliography  Save this article

Stability of planar diffusion wave for the three dimensional full bipolar Euler–Poisson system

Author

Listed:
  • Li, Yeping
  • Lu, Li

Abstract

In the paper, we consider a three-dimensional full bipolar classical hydrodynamic model. This model takes the form of non-isentropic bipolar Euler–Poisson with the electric field and the relaxation term added to the momentum equations. Based on the diffusive wave phenomena of the one dimensional full non-isentropic bipolar Euler–Poisson equations, we show the nonlinear stability of the planar diffusive wave for the initial value problem of the three dimensional non-isentropic bipolar Euler–Poisson system. Moreover, the convergence rates in L2-norm and L∞-norm are also obtained. The proofs are finished by some elaborate energy estimates. The study generalizes the result of [Y.-P. Li, J. Differential Equations, 250(2011), 1285–1309] to multi-dimensional case.

Suggested Citation

  • Li, Yeping & Lu, Li, 2019. "Stability of planar diffusion wave for the three dimensional full bipolar Euler–Poisson system," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 392-410.
    • Handle: RePEc:eee:apmaco:v:356:y:2019:i:c:p:392-410
    DOI: 10.1016/j.amc.2019.03.019
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300319302206
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2019.03.019?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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:eee:apmaco:v:356:y:2019:i:c:p:392-410. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.