21 citations · 71 across the 41 of their papers we have counts for
42 papers
The high-order approximation of SPDEs with multiplicative noise via amplitude equations
Shiduo Qu, Hongjun Gao
The emphasis of this paper is to investigate the high-order approximation of a class of SPDEs with cubic nonlinearity driven by multiplicative noise with the help of the amplitude…
Global smooth solution for the 3D generalized tropical climate model with partial viscosity and damping
Hui Liu, Chengfeng Sun, Mei Li
The three-dimensional generalized tropical climate model with partial viscosity and damping is considered in this paper. Global well-posedness of solutions of the three-dimensional…
Wong-Zakai approximation for the dynamics of stochastic evolution equation driven by rough path with Hurst index
Qiyong Cao, Hongjun Gao
In this paper, we obtain the existence of random attractors for a class of evolution equations driven by a geometric fractional Brownian rough path with Hurst index $H\in(\frac{1}{…
Wong-Zakai type approximations of rough random dynamical systems by smooth noise
Qiyong Cao, Hongjun Gao, Bjorn Schmalfuss
This paper is devoted to the smooth and stationary Wong-Zakai approximations for a class of rough differential equations driven by a geometric fractional Brownian rough path $\bold…
Unstable manifolds for rough evolution equations
Hongyan Ma, Hongjun Gao
In this paper, we consider a class of evolution equations driven by finite-dimensional -Hölder rough paths, where . We prove the global-in-time solutions of rough…
Hamiltonian model for coupled surface and internal waves over currents and uneven bottom
Lili Fan, Ruonan Liu, Hongjun Gao
A Hamiltonian model for the propagation of internal water waves interacting with surface waves, a current and an uneven bottom is examined. Using the so-called Dirichlet-Neumann op…