6 citations · 16 across the 12 of their papers we have counts for
12 papers
Global Existence and Stability of 3D Stochastic NSEs in Bounded and Unbounded Domains Driven by a Special Multiplicative Wiener Process
Zdzisław Brzeźniak, Shijia Zhang, Guoli Zhou
The aim of this work is to extend the results from a recent paper by Hong, Li and Liu, from bounded domains to both bounded and unbounded domains. We show the global existence and…
Global well-posedness and regularity of 3D Burgers equation with multiplicative noise
Zhao Dong, Boling Guo, Jiang-Lun Wu +1
In this paper, we develop low regularity theory for 3D Burgers equation perturbed by a linear multiplicative stochastic force. This method is new and essentially different from the…
Exponential stability of 3D stochastic primitive equations driven by fractional noise
Lidan Wang, Guoli Zhou
In this article, we study the stability of solutions to 3D stochastic primitive equations driven by fractional noise. Since the fractional Brownian motion is essentially different…
Global well-posedness of stochastic nematic liquid crystals with random initial and random boundary conditions driven by multiplicative noise
Lidan Wang, Jiang-Lun Wu, Guoli Zhou
The flow of nematic liquid crystals can be described by a highly nonlinear stochastic hydrodynamical model, thus is often influenced by random fluctuations, such as uncertainty in…
Random attractor for the 2D stochastic nematic liquid crystals flows with multiplicative noise
Guoli Zhou
Under non-periodic boundary conditions, we consider the long-time behavior for stochastic 2D nematic liquid crystals flows with velocity and orientations perturbed by additive nois…
The asymptotic behavior of primitive equations with multiplicative noise
Rangrang Zhang, Guoli Zhou
This paper is concerned with the existence of invariant measure for 3D stochastic primitive equations driven by linear multiplicative noise under non-periodic boundary conditions.…
Large deviations for nematic liquid crystals driven by pure jump noise
Rangrang Zhang, Guoli Zhou
In this paper, we establish a large deviation principle for a stochastic evolution equation which describes the system governing the nematic liquid crystals driven by pure jump noi…
Asymptotic behavior of 3-D stochastic primitive equations of large-scale moist atmosphere with additive noise
Lidan Wang, Guoli Zhou
Using a new and general method, we prove the existence of random attractor for the three dimensional stochastic primitive equations defined on a manifold $\D\subset\R^3$ improving…
A moderate deviation principle for 2D stochastic primitive equations
Rangrang Zhang, Guoli Zhou
In this paper, we establish a central limit theorem and a moderate deviations for 2D stochastic primitive equations with multiplicative noise. The proof is mainly based on the weak…
Finite dimensionality of global attractor for the solutions to 3D viscous primitive equations of large-scale moist atmosphere
Guoli Zhou
Under general boundary conditions we consider the finiteness of the Hausdorff and fractal dimensions of the global attractor for the strong solution of the 3D moist primitive equat…
The global attractor for the 3-D viscous primitive equations of large-scale moist atmosphere
Guoli Zhou, Yanfeng Guo
Absorbing ball in is obtained for the strong solution to the three dimensional viscous moist primitive equations under the natural assumption $Q_{1},Q_{2}\in L^{2}(\m…
Random attractor of the 3D viscous primitive equations driven by fractional noises
Guoli Zhou
We develop a new and general method to prove the the existence of the random attractor (strong attractor) for the primitive equations (PEs) of large-scale ocean and atmosphere dyna…