scholarly journals Random dynamics of two-dimensional stochastic second grade fluids

2019 ◽  
Vol 37 (5) ◽  
pp. 749-776
Author(s):  
Shijie Shang
Keyword(s):  
Second Grade ◽  
Two Dimensional ◽  
Random Dynamics ◽  
Second Grade Fluids

scholarly journals Moderate deviations for stochastic models of two-dimensional second grade fluids

2018 ◽  
Vol 18 (03) ◽  
pp. 1850026 ◽  
Author(s):  
Jianliang Zhai ◽  
Tusheng Zhang ◽  
Wuting Zheng
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Weak Convergence ◽  
Stochastic Models ◽  
Moderate Deviation ◽  
Second Grade ◽  
Two Dimensional ◽  
Convergence Method ◽  
Second Grade Fluids ◽  
Weak Convergence Method

In this paper, we prove a central limit theorem and establish a moderate deviation principle for stochastic models of incompressible second grade fluids. The weak convergence method introduced by [6] plays an important role.

scholarly journals Exponential mixing for stochastic model of two-dimensional second grade fluids

2016 ◽  
Vol 132 ◽  
pp. 196-213 ◽  
Author(s):  
Ran Wang ◽  
Jianliang Zhai ◽  
Tusheng Zhang
Keyword(s):  
Stochastic Model ◽  
Second Grade ◽  
Two Dimensional ◽  
Exponential Mixing ◽  
Second Grade Fluids

scholarly journals Large deviations for stochastic models of two-dimensional second grade fluids Driven by Lévy Noise

2020 ◽  
pp. 2050026
Author(s):  
Jianliang Zhai ◽  
Tusheng Zhang ◽  
Wuting Zheng
Keyword(s):  
Stochastic Models ◽  
Large Deviation Principle ◽  
Large Deviation ◽  
Lévy Noise ◽  
Second Grade ◽  
Two Dimensional ◽  
Convergence Method ◽  
Levy Noise ◽  
Second Grade Fluids ◽  
Weak Convergence Method

In this paper, we establish a Freidlin–Wentzell-type large deviation principle for stochastic models of two-dimensional second grade fluids driven by Lévy noise. The weak convergence method introduced by Budhiraja, Dupuis and Maroulas plays a key role.

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