Euler-Poincare Approaches to Nematodynamics

Nematodynamics is the orientation dynamics of flowless liquid-crystals. We show how Euler-Poincar, reduction produces a unifying framework for various theories, including Ericksen-Leslie, Luhiller-Rey, and Eringen's micropolar theory. In particular, we show that these theories are all compatible with each other and some of them allow for more general configurations involving a non vanishing disclination density. All results are also extended to flowing liquid crystals.


Published in:
Acta Applicandae Mathematicae, 120, 127-151
Year:
2012
Publisher:
Springer Verlag
ISSN:
0167-8019
Keywords:
Laboratories:




 Record created 2012-08-03, last modified 2018-01-28


Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)