3D tamed Navier-Stokes equations driven by multiplicative Levy noise: Existence, uniqueness and large deviations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:492

Article

Dong, Zhao^1,2  Zhang, Rangrang³ 

[1] Chinese Acad Sci, Acad Math & Syst Sci, RCSDS, Beijing 100190, Peoples R China

[2] Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China

[3] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China

关键词: Stochastic 3D tamed Navier-Stokes equations;    Levy noise;    Large deviations;    Weak convergence method;   

DOI  :  10.1016/j.jmaa.2020.124404

来源: Elsevier

【 摘 要 】

In this paper, we show the existence and uniqueness of a strong solution to stochastic 3D tamed Navier-Stokes equations driven by multiplicative Levy noise with periodic boundary conditions. Then we establish the large deviation principles of the strong solution on the state space D([0, T]; H-1), where the weak convergence approach plays a key role. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free