Large Deviations for Stochastic Nematic Liquid Crystals driven by Multiplicative Gaussian Noise

Zdzislaw Brzezniak, Uptal Manna, Akash Panda

Research output: Contribution to journalArticlepeer-review


We study a stochastic two-dimensional nematic liquid crystal model with multiplicative Gaussian noise. We prove the Wentzell-Freidlin type large deviations principle for the small noise asymptotic of solutions using weak convergence method
Original languageEnglish
Number of pages40
JournalPotential analysis
Early online date29 Jun 2019
Publication statusE-pub ahead of print - 29 Jun 2019

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© Springer Nature B.V. 2019. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details.

Accepted: 27 May 2019 /Published online: 29 June 2019


  • nematic liquid crystal
  • weak martingale solution
  • Large deviations principle

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