On the motion of the director field of a nematic liquid crystal submitted to a magnetic field and a laser beam

Paulo Amorim (), João-Paulo Dias () and Assis F. Martins ()
Additional contact information
Paulo Amorim: Universidade Federal do Rio de Janeiro
João-Paulo Dias: Faculdade de Ciências da Universidade de Lisboa
Assis F. Martins: Universidade Nova de Lisboa

Partial Differential Equations and Applications, 2023, vol. 4, issue 4, 1-14

Abstract: Abstract We study the motion of the director field of a nematic liquid crystal submitted to a magnetic field and to a laser beam. The problem takes the form of a quasilinear wave equation in a single space variable, coupled to a Schrödinger equation. We prove the existence of a global weak solution for the initial value problem using a viscous approximation and the compensated compactness method. We finish with some numerical computations to illustrate the results.

Keywords: Liquid crystal; Nematic; Magnetic field; Laser beam; Cauchy problem; 76D03; 76W05; 78-10; 35L53 (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s42985-023-00256-w Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:pardea:v:4:y:2023:i:4:d:10.1007_s42985-023-00256-w

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/42985/

DOI: 10.1007/s42985-023-00256-w

Access Statistics for this article

Partial Differential Equations and Applications is currently edited by Zhitao Zhang

More articles in Partial Differential Equations and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().