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math.PR2020
Well-posedness of Stochastic 2D Hydrodynamics type Systems with Multiplicative Lévy Noises
Xuhui Peng, Juan Yang, Jianliang Zhai
We establish the existence and uniqueness of solutions to an abstract nonlinear equation driven by a multiplicative noise of Lévy type, which covers many hydrodynamical models incl…
math.PR2020
Exponential mixing for the fractional Magneto-Hydrodynamic equations with degenerate stochastic forcing
Xuhui Peng, Jianhua Huang, Yan Zheng
We establish the existence, uniqueness and exponential attraction properties of an invariant measure for the MHD equations with degenerate stochastic forcing acting only in the mag…
math.PR2020
Ergodicity and exponential mixing of the real Ginzburg-Landau equation with a degenerate noiss
Xuhui Peng, Jianhua Huang, Rangrang Zhang
In this paper, we establish the existence, uniqueness and attraction properties of an invariant measure for the real Ginzburg-Landau equation in the presence of a degenerate stocha…