Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (4): 932-944.

• Articles • Previous Articles     Next Articles

Global Smooth Solution to the |Landau-Lifshitz-Maxwell Equations

 LIN Jun-Yu1, DING Shi-Jin2   

  1. 1.School of Mathematical Sciences, South China University of Technology, Guangzhou 510640;
    2.School of Mathematical Sciences, South China Normal University, Guangzhou |510631
  • Received:2008-12-13 Revised:2009-10-09 Online:2010-07-25 Published:2010-07-25
  • Supported by:

    国家自然科学基金(10471050)、广东省自然科学基金(7005795)、华南理工大学自然科学青年基金(x2lxE5090440)和华南理工大学中央高校基本科研业务费(2009ZM0102)资助

Abstract:

The present paper concerns itself with the existence and uniqueness of global smooth solution to the periodic initial value problem of the Landau-Lifshitz equation without Gilbert damping terms but with quasi-static Maxwell equations in one dimension.  To establish the uniform estimates,  the authors use some identities resulting from the fact |Z|=1 and the fact that the vectors {ZZx, Z×Zx} form an orthogonal base of the space R3.

Key words: Landau-Lifshitz equation, Maxwell equations, Global smooth solution

CLC Number: 

  • 35B510
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