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
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
Journal title :
Stochastic Processes and their Applications
