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Detalhes Referência

Tipo
Artigos em Revista

Tipo de Documento
Artigo Completo

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

Participantes na publicação
Paulo Amorim (Author)
João Paulo Dias (Author)
FACULDADE DE CIÊNCIAS DA UNIVERSIDADE DE LISBOA
 Dep. Matemática
 Dep. Matemática
 CMAFcIO
 Assis F Martins (Author)

Resumo
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.

Data de Submissão/Pedido
2022-06-21
Data de Aceitação
2023-07-11
Data de Publicação
2023-07-21

Instituição
FACULDADE DE CIÊNCIAS DA UNIVERSIDADE DE LISBOA

Suporte
Partial Differential Equations and Applications

Identificadores da Publicação
ISSN - 2662-2963

Editora
Springer Science and Business Media LLC

Coleção
Theory of PDEs

Volume
4
Fascículo
4

Número de Páginas
14

Identificadores do Documento
DOI - https://doi.org/10.1007/s42985-023-00256-w
URL - http://dx.doi.org/10.1007/s42985-023-00256-w

Identificadores de Qualidade
SCIMAGO Q2 (2023) - SJR - Analysis


Exportar referência

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 }