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Publication details

Document type
Journal articles

Document subtype
Full paper

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

Participants in the publication
Paulo Amorim (Author)
João Paulo Dias (Author)
FACULDADE DE CIÊNCIAS DA UNIVERSIDADE DE LISBOA
 Dep. Matemática
 Assis F Martins (Author)

Summary
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.

Date of Submisson/Request
2022-06-21
Date of Acceptance
2023-07-11
Date of Publication
2023-07-21

Institution
FACULDADE DE CIÊNCIAS DA UNIVERSIDADE DE LISBOA

Where published
Partial Differential Equations and Applications

Publication Identifiers
ISSN - 2662-2963

Publisher
Springer Science and Business Media LLC

Collection
Theory of PDEs

Volume
4
Number
4

Number of pages
14

Document Identifiers
DOI - https://doi.org/10.1007/s42985-023-00256-w
URL - http://dx.doi.org/10.1007/s42985-023-00256-w

Rankings
SCIMAGO Q2 (2023) - SJR - Analysis


Export

APA
Paulo Amorim, João Paulo Dias, Assis F Martins, (2023). On the motion of the director field of a nematic liquid crystal submitted to a magnetic field and a laser beam. Partial Differential Equations and Applications, 4, ISSN 2662-2963. eISSN . http://dx.doi.org/10.1007/s42985-023-00256-w

IEEE
Paulo Amorim, João Paulo Dias, Assis F Martins, "On the motion of the director field of a nematic liquid crystal submitted to a magnetic field and a laser beam" in Partial Differential Equations and Applications, vol. 4, 2023. 10.1007/s42985-023-00256-w

BIBTEX
@article{59064, author = {Paulo Amorim and João Paulo Dias and Assis F Martins}, title = {On the motion of the director field of a nematic liquid crystal submitted to a magnetic field and a laser beam}, journal = {Partial Differential Equations and Applications}, year = 2023, volume = 4 }