de.mpg.escidoc.pubman.appbase.FacesBean
English
 
Help Guide Disclaimer Contact us Login
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Theory of light-matter interaction in nematic liquid crystals and the second Painlevé equation

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons196060

Vidal-Henriquez,  Estefania
Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

Locator
There are no locators available
Fulltext (public)
There are no public fulltexts available
Supplementary Material (public)
There is no public supplementary material available
Citation

Clerc, M. G., Davila, J. D., Kowalczyk, M., Smyrnelis, P., & Vidal-Henriquez, E. (2017). Theory of light-matter interaction in nematic liquid crystals and the second Painlevé equation. Calculus of Variations and Partial Differential Equations, 56: 93. doi:10.1007/s00526-017-1187-8.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002D-C8D6-B
Abstract
We study global minimizers of an energy functional arising as a thin sample limit in the theory of light-matter interaction in nematic liquid crystals. We show that depending on the parameters various defects are predicted by the model. In particular we show existence of a new type of topological defect which we call the shadow kink. Its local profile is described by the generalized Hastings and McLeod solutions of the second Painlevé equation (Claeys et al. in Ann Math 168(2):601–641, 2008; Hastings and McLeod in Arch Ration Mech Anal 73(1):31–51, 1980). As part of our analysis we give a new proof of existence of these solutions.