No Cover Image

Journal article 736 views 47 downloads

Global Well-Posedness of Stochastic Nematic Liquid Crystals with Random Initial and Boundary Conditions Driven by Multiplicative Noise

Lidan Wang, Guoli Zhou Orcid Logo, Jiang-lun Wu

Applied Mathematics & Optimization, Volume: 87, Issue: 1, Pages: 1 - 46

Swansea University Author: Jiang-lun Wu

Check full text

DOI (Published version): 10.1007/s00245-022-09909-5

Abstract

The flow of nematic liquid crystals can be described by a highly nonlinear stochastic hydrodynamicalmodel, thus is often influenced by random fluctuations, such as uncertainty in specifying initial conditions and boundary conditions. In this article, we consider a 2-D stochastic nematic liquid cryst...

Full description

Published in: Applied Mathematics & Optimization
ISSN: 0095-4616 1432-0606
Published: Switzerland AG Springer Science and Business Media LLC 2023
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa60862
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract: The flow of nematic liquid crystals can be described by a highly nonlinear stochastic hydrodynamicalmodel, thus is often influenced by random fluctuations, such as uncertainty in specifying initial conditions and boundary conditions. In this article, we consider a 2-D stochastic nematic liquid crystals with the velocity field perturbed by affine-linear multiplicative white noise, with random initial data and random boundary conditions. Our main objective is to obtain the global well-posedness of the stochastic equations under the sufficient Malliavin regularity of the initial condition. The Malliavin calculus techniques play important roles when we obtain the global existence of the solutions to the stochastic nematic liquid crystal model with random initial and boundary conditions.
Keywords: Stochastic nematic liquid crystals flows; Anticipating initial condition; Malliavin derivative; Apriori estimates; Skorohod integral
College: Faculty of Science and Engineering
Funders: NNSF of China(Grant No. 11971077, 11801283), Chongqing Key Laboratory of Analytic Mathematics and Applications, Chongqing University, Chongqing, 401331,China.
Issue: 1
Start Page: 1
End Page: 46

Similar Items