IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v290y2016icp189-200.html
   My bibliography  Save this article

A remark on blow-up criterion for 3D compressible magnetohydrodynamic flows with vacuum

Author

Listed:
  • Liu, Yujun
  • Tang, Tong
  • Li, Shan

Abstract

In this paper, we concerned a blowup criterion of strong solutions for 3D viscous, compressible magnetohydrodynamic(MHD) flows with vacuum. We proved that any strong solutions of viscous, compressible MHD fluids will blow up in finite time if limT→T*(∥ρ∥L∞(0,T;Ls)+∥H∥L∞(0,T;Ll))=∞, for some 1 < s < ∞ large enough, and 245≤l≤∞, provided that the viscosity coefficients satisfy 3μ > λ. This work is motivated by the recent works of Wang and Li (2014) and Yu (2013) on blow up criterion for 3D MHD flows.

Suggested Citation

  • Liu, Yujun & Tang, Tong & Li, Shan, 2016. "A remark on blow-up criterion for 3D compressible magnetohydrodynamic flows with vacuum," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 189-200.
  • Handle: RePEc:eee:apmaco:v:290:y:2016:i:c:p:189-200
    DOI: 10.1016/j.amc.2016.05.039
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300316303484
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.amc.2016.05.039?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:290:y:2016:i:c:p:189-200. 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.