A note on the Stochastic Ericksen-Leslie equations for nematic liquid crystals

Zdzislaw Brzezniak; Erika Hausenblas; Paul Razafimandimby

doi:10.3934/dcdsb.2019106

A note on the Stochastic Ericksen-Leslie equations for nematic liquid crystals

Zdzislaw Brzezniak, Erika Hausenblas, Paul Razafimandimby

Mathematics

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

Abstract

In this note we prove the existence and uniqueness of local maximal smooth solution of the stochastic simplified Ericksen-Leslie systems modelling the dynamics of nematic liquid crystals under stochastic perturbations.

Original language	English
Pages (from-to)	5785-5802
Number of pages	19
Journal	Discrete & Continuous Dynamical Systems, Series B
Volume	24
Issue number	11
DOIs	https://doi.org/10.3934/dcdsb.2019106
Publication status	Published - Nov 2019

Bibliographical note

The third authour current affiliation is University of York. How this should be mentioned?

Keywords

Ericksen-Leslie Equations
Nematic Liquid Crystals
Fixed point method
Smooth Solution; Local Solution

Access to Document

10.3934/dcdsb.2019106

seles-dcds-09dec018Accepted author manuscript, 74.7 KBLicence: Unspecified

Cite this

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title = "A note on the Stochastic Ericksen-Leslie equations for nematic liquid crystals",

abstract = "In this note we prove the existence and uniqueness of local maximal smooth solution of the stochastic simplified Ericksen-Leslie systems modelling the dynamics of nematic liquid crystals under stochastic perturbations.",

keywords = "Ericksen-Leslie Equations, Nematic Liquid Crystals, Fixed point method, Smooth Solution; Local Solution",

author = "Zdzislaw Brzezniak and Erika Hausenblas and Paul Razafimandimby",

note = "The third authour current affiliation is University of York. How this should be mentioned?",

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publisher = "Southwest Missouri State University",

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AU - Hausenblas, Erika

AU - Razafimandimby, Paul

N1 - The third authour current affiliation is University of York. How this should be mentioned?

PY - 2019/11

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AB - In this note we prove the existence and uniqueness of local maximal smooth solution of the stochastic simplified Ericksen-Leslie systems modelling the dynamics of nematic liquid crystals under stochastic perturbations.

KW - Ericksen-Leslie Equations

KW - Nematic Liquid Crystals

KW - Fixed point method

KW - Smooth Solution; Local Solution

U2 - 10.3934/dcdsb.2019106

DO - 10.3934/dcdsb.2019106

M3 - Article

SN - 1531-3492

VL - 24

SP - 5785

EP - 5802

JO - Discrete & Continuous Dynamical Systems, Series B

JF - Discrete & Continuous Dynamical Systems, Series B

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