Large deviations for stochastic models of two-dimensional second grade fluids driven by Lévy Noise-Reference-Cited by-同舟云学术

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Large deviations for stochastic models of two-dimensional second grade fluids driven by Lévy Noise

Published:2020-12 Issue:04 Volume:23 Page:2050026
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

Zhai Jianliang¹,Zhang Tusheng²,Zheng Wuting³

Affiliation:

1. CAS Key Laboratory of Wu Wen-Tsun Mathematics, School of Mathematical Science, University of Science and Technology of China, Hefei 230026, P. R. China

2. School of Mathematics, University of Manchester, Manchester M13 9PL, UK

3. School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, P. R. China

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025720500265

Reference41 articles.

1. Large deviations for neutral functional SDEs with jumps

2. Large deviations for stochastic partial differential equations driven by a Poisson random measure

3. Variational representations for continuous time processes

4. The second grade fluid and averaged Euler equations with Navier-slip boundary conditions

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