• Title of article

    A type III phase-field system with a logarithmic potential

  • Author/Authors

    Miranville، نويسنده , , Alain and Quintanilla، نويسنده , , Ramon، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2011
  • Pages
    6
  • From page
    1003
  • To page
    1008
  • Abstract
    Our aim in this note is to study the existence and uniqueness of solutions to a phase-field system, based on type III heat conduction, with a logarithmic potential. The main difficulty is to prove that the order parameter remains in the physically relevant range and this is achieved by deriving proper a priori estimates.
  • Keywords
    Logarithmic potential , Type III heat conduction , well-posedness , Phase-field system
  • Journal title
    Applied Mathematics Letters
  • Serial Year
    2011
  • Journal title
    Applied Mathematics Letters
  • Record number

    1527890