Moderate Deviations for Stochastic Models of Two-Dimensional Second-Grade Fluids Driven by Lévy Noise

Abstract

In this paper, we establish a moderate deviation principle for stochastic models of two-dimensional second-grade fluids driven by Lévy noise. We will adopt the weak convergence approach. Because of the appearance of jumps, this result is significantly different from that in Gaussian case.

Keywords

Moderate deviations / Second-grade fluids / Lévy process / Weak convergence method

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Funding

National Natural Science Foundation of China(11431014)

National Natural Science Foundation of China(11721101)