• Title of article

    Ergodicity of the 3D stochastic Navier–Stokes equations driven by mildly degenerate noise

  • Author/Authors

    Romito، نويسنده , , Marco and Xu، نويسنده , , Lihu، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2011
  • Pages
    28
  • From page
    673
  • To page
    700
  • Abstract
    We prove that any Markov solution to the 3D stochastic Navier–Stokes equations driven by a mildly degenerate noise (i.e. all but finitely many Fourier modes are forced) is uniquely ergodic. This follows by proving strong Feller regularity and irreducibility.
  • Keywords
    Markov selections , Ergodicity , Martingale problem , Continuous dependence , Degenerate noise , Malliavin Calculus , stochastic Navier–Stokes equations
  • Journal title
    Stochastic Processes and their Applications
  • Serial Year
    2011
  • Journal title
    Stochastic Processes and their Applications
  • Record number

    1578381

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=1578381