Journal article icon

Journal article

Liquid crystal defects in the Landau–de Gennes theory in two dimensions — Beyond the one-constant approximation

Abstract:

We consider the two-dimensional (2D) Landau–de Gennes energy with several elastic constants, subject to general k-radially symmetric boundary conditions. We show that for generic elastic constants the critical points consistent with the symmetry of the boundary conditions exist only in the case k = 2. In this case we identify three types of radial profiles: with two, three of full five components and numerically investigate their minimality and stability depending on suitable parametres. We a...

Expand abstract
Publication status:
Published
Peer review status:
Peer reviewed

Actions


Access Document


Publisher copy:
10.1142/S0218202516500664

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More from this funder
Name:
Engineering and Physical Sciences Research Council
Grant:
EP/K02390X/1
More from this funder
Name:
Leverhulme Trust
Grant:
RPG-2014-226
More from this funder
Name:
Spanish Ministry of Economy and Competitiveness
More from this funder
Name:
Romanian National Authority for Scientific Research and Innovation
Publisher:
World Scientific Publishing
Journal:
Mathematical Models and Methods in Applied Sciences More from this journal
Volume:
26
Issue:
14
Pages:
2769-2808
Publication date:
2016-12-30
Acceptance date:
2016-10-21
DOI:
EISSN:
1793-6314
ISSN:
0218-2025
Keywords:
Pubs id:
pubs:847870
UUID:
uuid:fd3caf12-f38d-4d22-81ef-72cb5daa8134
Local pid:
pubs:847870
Source identifiers:
847870
Deposit date:
2018-06-04

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP