Large deviation principles for a 2D stochastic Cahn–Hilliard–Navier–Stokes driven by jump noise

Stochastics ◽  
2022 ◽  
pp. 1-35
Author(s):  
Gabriel Deugoué ◽  
Theodore Tachim Medjo
Keyword(s):  
Large Deviation ◽  
Navier Stokes ◽  
Large Deviation Principles ◽  
Jump Noise

Large deviation principles for a 2D stochastic Allen–Cahn–Navier–Stokes driven by jump noise

2021 ◽  
Author(s):  
Theodore Tachim Medjo
Keyword(s):  
Stokes System ◽  
Multiplicative Noise ◽  
Stokes Equations ◽  
Large Deviation ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Large Deviation Principles ◽  
Convergence Method ◽  
Continuous Time Processes ◽  
Weak Convergence Method

In this paper, we derive a large deviation principle for a stochastic 2D Allen–Cahn–Navier–Stokes system with a multiplicative noise of Lévy type. The model consists of the Navier–Stokes equations for the velocity, coupled with a Allen–Cahn system for the order (phase) parameter. The proof is based on the weak convergence method introduced in [A. Budhiraja, P. Dupuis and V. Maroulas, Variational representations for continuous time processes, Ann. Inst. Henri Poincarà ⓒ Probab. Stat. 47(3) (2011) 725–747].

Lp-solutions for stochastic Navier–Stokes equations with jump noise

2019 ◽  
Vol 155 ◽  
pp. 108563 ◽  
Author(s):  
Jiahui Zhu ◽  
Zdzisław Brzeźniak ◽  
Wei Liu
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Lp Solutions ◽  
Jump Noise
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