• Title of article

    Asymptotics for the Time Dependent Ginzburg–Landau Equations

  • Author/Authors

    Jishan Fan، نويسنده , , Shijin Ding، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 1999
  • Pages
    15
  • From page
    241
  • To page
    255
  • Abstract
    In this paper, we prove that as →0 the solution of the complex Ginzburg– Landau equationut−Δu=(1/ 2) u(1−u2), inΩ×R+converges to the unique solution of the heat flow for harmonic maps intoS1under the assumption that the initial and boundary maps have zero degree.
  • Keywords
    asymptotic behavior , heat flow forharmonic maps. , Ginzburg Landau equations
  • Journal title
    JOURNAL OF DIFFERENTIAL EQUATIONS
  • Serial Year
    1999
  • Journal title
    JOURNAL OF DIFFERENTIAL EQUATIONS
  • Record number

    749706

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=749706