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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…
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.…
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…