On the Weak Solutions to a Stochastic 2D Simplified Ericksen-Leslie Model View Full Text


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Article Info

DATE

2019-02-15

AUTHORS

Theodore Tachim Medjo

ABSTRACT

We study in this article a stochastic version of a 2D Ericksen-Leslie systems. The system model the dynamic of nematic liquid crystals under the influence of stochastic external forces and stretching effects. We prove the existence of a probabilistic weak solutions. The proof relies on a reformulation of the model proposed in Gong et al. (Nonlinearity 28(10), 3677–3694 2015) as well as a Galerkin approximation and some compactness results. We also prove the pathwise uniqueness of the weak solution when the stretching effect is neglected. More... »

PAGES

1-30

Journal

TITLE

Potential Analysis

ISSUE

N/A

VOLUME

N/A

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11118-019-09768-w

DOI

http://dx.doi.org/10.1007/s11118-019-09768-w

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1112158656


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