Busca avançada
Ano de início
Entree


Asymptotic modeling of the current flow system described by the p(x)-Laplacian

Texto completo
Autor(es):
Nakasato, Jean Carlos ; Pazanin, Igor
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK; v. N/A, p. 19-pg., 2024-09-28.
Resumo

Starting from the p(x)-Laplace thermistor model, in this paper we rigorously derive the effective model describing the current flow in a thin domain. We assume that the exponent p(x) is constant by parts and exhibiting the oscillating interface. Depending on the parameter describing these oscillations, we investigate the asymptotic behavior of the solution by using the adaptation of the periodic unfolding method. Our work is motivated by the industrial applications consisting of thin organic light-emitting diodes. (AU)

Processo FAPESP: 23/03847-6 - Análise assintótica de equações diferenciais em domínios singularmente perturbados
Beneficiário:Jean Carlos Nakasato
Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Pós-Doutorado