Large deviations for stochastic $ 2D $ Navier-Stokes equations on time-dependent domains

Wei Wang; Jianliang Zhai; Tusheng Zhang

doi:10.3934/cpaa.2022111

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2022, Volume 21, Issue 10: 3479-3498. Doi: 10.3934/cpaa.2022111

This issue Previous Article Planar systems and Abel equations Next Article Classification of classical Friedrichs differential operators: One-dimensional scalar case

Large deviations for stochastic $ 2D $ Navier-Stokes equations on time-dependent domains

School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui 230026, China

^*Corresponding author
^*Corresponding author

Received: November 2021

Revised: February 2022

Early access: July 18, 2022

Published online: July 18, 2022

This work is partially supported by NSFC (No. 12131019, 11971456, 11721101), Jianliang Zhai's research is supported by School Start-up Fund (USTC) KY0010000036, the Fundamental Research Funds for the Central Universities (No. WK3470000016).

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Abstract

A Freidlin-Wentzell-type large deviation principle is established for $ 2D $ stochastic Navier-Stokes equations on time-dependent domains driven by Brownian motion, which captures situations where the regions of the fluid change with time.

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Mathematics Subject Classification: Primary: 60H15, 60F10; Secondary: 53C35.

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References

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