IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v258y2015icp325-341.html
   My bibliography  Save this article

Global well-posedness for MHD system with mixed partial dissipation and magnetic diffusion in 212 dimensions

Author

Listed:
  • Ji, Ruihong
  • Li, Shan

Abstract

This paper concentrates on the global well-posedness for 212D incompressible Magnetohydrodynamic (MHD) system with mixed partial dissipation and magnetic diffusion. For 212D MHD flows with full dissipation and magnetic diffusion terms, the global existence and uniqueness can be obtained by the standard energy method. However, can the classical solutions for incompressible MHD flows in 212 dimensions keep its global regularity losing some partial dissipation and magnetic diffusion terms? We will give a rigorous proof to the global well-posedness for the 212D MHD flows with the mixed partial dissipation and magnetic diffusion case in this paper.

Suggested Citation

  • Ji, Ruihong & Li, Shan, 2015. "Global well-posedness for MHD system with mixed partial dissipation and magnetic diffusion in 212 dimensions," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 325-341.
    • Handle: RePEc:eee:apmaco:v:258:y:2015:i:c:p:325-341
    DOI: 10.1016/j.amc.2015.01.078
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300315001101
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2015.01.078?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Liu, Yujun & Li, Shan, 2016. "Global well-posedness for magneto-micropolar system in 212 dimensions," Applied Mathematics and Computation, Elsevier, vol. 280(C), pages 72-85.

    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:258:y:2015:i:c:p:325-341. 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.