# Large deviations for stochastic models of two-dimensional second grade   fluids driven by L\'evy noise

**Authors:** Jianliang Zhai, Tusheng Zhang, Wuting Zheng

arXiv: 1706.08862 · 2017-06-28

## TL;DR

This paper proves a large deviation principle for 2D second grade fluid models influenced by Le9vy noise, using the weak convergence method, advancing understanding of stochastic fluid dynamics under jump noise.

## Contribution

It introduces a large deviation principle for stochastic second grade fluids driven by Le9vy noise, employing the weak convergence approach for the first time in this context.

## Key findings

- Established a large deviation principle for the model.
- Applied the weak convergence method successfully.
- Enhanced theoretical understanding of stochastic fluid models.

## Abstract

In this paper, we establish a large deviation principle for stochastic models of two-dimensional second grade fluids driven by L\'evy noise. The weak convergence method introduced by Budhiraja, Dupuis and Maroulas in [5] plays a key role.

## Full text

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## References

37 references — full list in the complete paper: https://tomesphere.com/paper/1706.08862/full.md

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Source: https://tomesphere.com/paper/1706.08862