• DocumentCode
    674266
  • Title

    Asymptotic solution of the phase field system in the case of the high thermal conductivity and the small coefficient of the velocity of the free boundary

  • Author

    Rudnev, Vadim Yu

  • Author_Institution
    MIEM, Moscow Tech. Univ. of Commun. & Inf., Moscow, Russia
  • fYear
    2013
  • fDate
    27-31 May 2013
  • Firstpage
    121
  • Lastpage
    124
  • Abstract
    We consider the phase field system in the case of a stationary solution. We construct the corresponding weak asymptotic solution which becomes the classical solution of the Stefan-Gibbs-Thomson problem in the case of dynamics of the free boundary. Using numerical simulation we verify correctness of asymptotic solution constructed.
  • Keywords
    heat transfer; numerical analysis; thermal conductivity; Stefan-Gibbs-Thomson problem; asymptotic solution; classical solution; free boundary; high thermal conductivity; numerical simulation; phase field system; weak asymptotic solution; Diffraction; Educational institutions; Equations; Heating; Mathematical model; Numerical simulation; Thermal conductivity;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Days on Diffraction (DD), 2013
  • Conference_Location
    St. Petersburg
  • Print_ISBN
    978-1-4799-1037-3
  • Type

    conf

  • DOI
    10.1109/DD.2013.6712815
  • Filename
    6712815
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=674266