Large deviation principles for a 2D liquid crystal model with jump noise

Abstract

We consider a stochastic 2D liquid crystal model with a multiplicative noise of Lévy type, which models the dynamic of nematic liquid crystals under the influence of stochastic external forces of jump type. We derive a large deviation principle for the model. The proof is based on the weak convergence method introduced in [Budhiraja A, Dupuis P, Maroulas V. Variational representations for continuous time processes. Ann Inst Henri Poincar Probab Stat. 2011;47(3):725–747].

Keywords:

• Liquid crystal
• Navier–Stokes
• strong solutions
• Lévy noise
• large deviations

1991 Mathematics Subject Classifications:

• 35R60
• 35Q35
• 60H15
• 76M35
• 86A05

Acknowledgments

The author would like to thank the anonymous referees whose comments help to greatly improve the contain of this article.

Disclosure statement

No potential conflict of interest was reported by the author(s).