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

Zdzislaw Brzezniak; Uptal Manna; Akash Panda

doi:10.1007/s11118-019-09788-6

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

Zdzislaw Brzezniak, Uptal Manna, Akash Panda

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Number of pages	40
Journal	Potential analysis
Early online date	29 Jun 2019
DOIs	https://doi.org/10.1007/s11118-019-09788-6
Publication status	E-pub ahead of print - 29 Jun 2019

Bibliographical note

© 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

Keywords

nematic liquid crystal
weak martingale solution
Large deviations principle

Access to Document

10.1007/s11118-019-09788-6Licence: Other

AAM_Brzezniak_Large_Deviations_for_Stochastic_Nematic_Liquid_Crystals
© 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 author manuscript, 462 KB

Cite this

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