Twisted Solutions to a Simplified Ericksen–Leslie Equation View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-04

AUTHORS

Yuan Chen, Soojung Kim, Yong Yu

ABSTRACT

In this article we construct global solutions to a simplified Ericksen–Leslie system on R3. The constructed solutions are twisted and periodic along the x3-axis with period d=2π/μ. Here μ>0 is the twist rate and d is the distance between two planes which are parallel to the x1x2-plane. Liquid crystal material is placed in the region enclosed by these two planes. Given a well-prepared initial data, our solutions exist classically for all t∈(0,∞). However, these solutions become singular at all points on the x3-axis and escape into third dimension exponentially while t→∞. An optimal blow up rate is also obtained. More... »

PAGES

303-336

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00205-018-1321-6

DOI

http://dx.doi.org/10.1007/s00205-018-1321-6

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1107580978


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