Axisymmetric configurations of bipolar liquid crystal droplets

Quan Shen; Chun Liu; M. Carme Calderer

doi:10.1007/s001610100074

Axisymmetric configurations of bipolar liquid crystal droplets

Quan Shen, Chun Liu, M. Carme Calderer

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

8 Scopus citations

Abstract

In this paper we discuss bipolar configurations of a nematic liquid crystal droplet. We are interested in, both, fixed spherical domain and free boundary problems. We show the stability of the fixed spherical shape, and the existence of the free boundary configuration in the axisymmetric case. For the latter, we introduce a relaxed energy that is shown to be polyconvex with respect to the fields.

Original language	English (US)
Pages (from-to)	363-375
Number of pages	13
Journal	Continuum Mechanics and Thermodynamics
Volume	14
Issue number	4
DOIs	https://doi.org/10.1007/s001610100074
State	Published - Aug 2002

All Science Journal Classification (ASJC) codes

General Materials Science
Mechanics of Materials
General Physics and Astronomy

Access to Document

10.1007/s001610100074

Cite this

@article{bb03b5a7494443f5af400eda25e39f7b,

title = "Axisymmetric configurations of bipolar liquid crystal droplets",

abstract = "In this paper we discuss bipolar configurations of a nematic liquid crystal droplet. We are interested in, both, fixed spherical domain and free boundary problems. We show the stability of the fixed spherical shape, and the existence of the free boundary configuration in the axisymmetric case. For the latter, we introduce a relaxed energy that is shown to be polyconvex with respect to the fields.",

author = "Quan Shen and Chun Liu and {Carme Calderer}, M.",

year = "2002",

month = aug,

doi = "10.1007/s001610100074",

language = "English (US)",

volume = "14",

pages = "363--375",

journal = "Continuum Mechanics and Thermodynamics",

issn = "0935-1175",

publisher = "Springer Science and Business Media Deutschland GmbH",

number = "4",

}

TY - JOUR

T1 - Axisymmetric configurations of bipolar liquid crystal droplets

AU - Shen, Quan

AU - Liu, Chun

AU - Carme Calderer, M.

PY - 2002/8

Y1 - 2002/8

N2 - In this paper we discuss bipolar configurations of a nematic liquid crystal droplet. We are interested in, both, fixed spherical domain and free boundary problems. We show the stability of the fixed spherical shape, and the existence of the free boundary configuration in the axisymmetric case. For the latter, we introduce a relaxed energy that is shown to be polyconvex with respect to the fields.

AB - In this paper we discuss bipolar configurations of a nematic liquid crystal droplet. We are interested in, both, fixed spherical domain and free boundary problems. We show the stability of the fixed spherical shape, and the existence of the free boundary configuration in the axisymmetric case. For the latter, we introduce a relaxed energy that is shown to be polyconvex with respect to the fields.

UR - http://www.scopus.com/inward/record.url?scp=0035994943&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035994943&partnerID=8YFLogxK

U2 - 10.1007/s001610100074

DO - 10.1007/s001610100074

M3 - Article

AN - SCOPUS:0035994943

SN - 0935-1175

VL - 14

SP - 363

EP - 375

JO - Continuum Mechanics and Thermodynamics

JF - Continuum Mechanics and Thermodynamics

IS - 4

ER -

Axisymmetric configurations of bipolar liquid crystal droplets

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this