arXiv subjects

Lihu Xu

Publications and source records attributed to Lihu Xu.

74 records · Page 5Linked to original sources

arXiv2009

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

We prove that the 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.

math.PR↗

arXiv2009

Ergodicity of infinite white $α$-stable Systems with linear and bounded interactions

We proved the existence of an infinite dimensional stochastic system driven by white $α$-stable noises ($1<α\leq 2$), and prove this system is strongly mixing. Our method is by perturbing Ornstein-Uhlenbeck $α$-stable processes.

math.PR↗