Large deviations for 2D-fractional stochastic Navier-Stokes equation on the torus -Short Proof-

TL;DR

This paper establishes the large deviation principle for the 2D-fractional stochastic Navier-Stokes equation on a torus, covering dissipation orders from 4/3 to 2, providing insights into the probability of rare events in this stochastic fluid dynamics model.

Contribution

It provides the first proof of large deviations for the 2D-fractional stochastic Navier-Stokes equation within the specified dissipation range.

Findings

Large deviation principle is proved for the model.

Results cover dissipation order from 4/3 to 2.

The approach advances understanding of rare events in fractional stochastic fluids.

Abstract

In this note, we prove the large deviation principle for the 2D-fractional stochastic Navier-Stokes equation on the torus under the dissipation order $ \alpha \in [\frac43, 2]$.