• Title of article

    The asymptotic self-similar behavior for the quasilinear heat equation with nonlinear boundary condition

  • Author/Authors

    Zhiwen Duan، نويسنده ,

  • Issue Information
    ماهنامه با شماره پیاپی سال 2009
  • Pages
    17
  • From page
    2005
  • To page
    2021
  • Abstract
    In this paper the quasilinear heat equation with the nonlinear boundary condition is studied. The blow-up rate and existence of a self-similar solution are obtained. It is proved that the rescaled function v.y; t/ D .T 􀀀 t/1=.2pC 􀀀2/u..T 􀀀 t/.p􀀀1/=.2pC 􀀀2/y; t/; behaves as t ! T like a nontrivial self-similar profile.
  • Keywords
    Quasilinear heat equation , nonlinear boundary condition , Lyapunov function , Asymptotic self-similar behavior
  • Journal title
    Computers and Mathematics with Applications
  • Serial Year
    2009
  • Journal title
    Computers and Mathematics with Applications
  • Record number

    922117

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=922117