• Title of article

    Darcyʹs law as long-time limit of adiabatic porous media flow

  • Author/Authors

    Ronghua Pan، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2006
  • Pages
    26
  • From page
    121
  • To page
    146
  • Abstract
    It is conjectured that Darcyʹs law governs the motion of compressible porous media flow in large time. This has been justified for one-dimensional isentropic flows. In this work, we show the conjecture is true for one-dimensional adiabatic flows with generic small smooth initial data
  • Keywords
    Darcy’s law , Damping mechanism , L1-estimates , self-similarity , Weighted energy estimates
  • Journal title
    JOURNAL OF DIFFERENTIAL EQUATIONS
  • Serial Year
    2006
  • Journal title
    JOURNAL OF DIFFERENTIAL EQUATIONS
  • Record number

    750758