1 citations · 1 across the 4 of their papers we have counts for
8 papers
Mean-square invariant manifolds for ill-posed stochastic evolution equations driven by nonlinear noise
Zonghao Li, Caibin Zeng, Jianhua Huang
This paper discerns the invariant manifold of a class of ill-posed stochastic evolution equations driven by a nonlinear multiplicative noise. To be more precise, we establish the e…
The Cauchy problem for the generalized KdV equation with rough data and random data
Wei Yan, Xiangqian Yan, Jinqiao Duan +1
In this paper, we consider the Cauchy problem for the generalized KdV equation with rough data and random data. Firstly, we prove that as $t\longrigh…
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…
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…
New lower bounds on the radius of spatial analyticity for the KdV equation
Jianhua Huang, Ming Wang
The radius of spatial analyticity for solutions of the KdV equation is studied. It is shown that the analyticity radius does not decay faster than as time goes to in…
The Cauchy problem for two dimensional generalized Kadomtsev-Petviashvili-I equation in anisotropic Sobolev spaces
Wei Yan, Yongsheng Li, Jianhua Huang +1
The goal of this paper is three-fold. Firstly, we prove that the Cauchy problem for generalized KP-I equation \begin{eqnarray*} u_{t}+|D_{x}|^α\partial_{x}u+\partial_{x}^{-1}\parti…