Dirichlet Type Problem for 2D Quaternionic Time-Harmonic Maxwell System in Fractal Domains

Autor: Yudier Peña Pérez, Ricardo Abreu Blaya, Paul Bosch, Juan Bory Reyes
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Advances in Mathematical Physics, Vol 2020 (2020)
Druh dokumentu: article
ISSN: 1687-9120
1687-9139
DOI: 10.1155/2020/4735357
Popis: We investigate an electromagnetic Dirichlet type problem for the 2D quaternionic time-harmonic Maxwell system over a great generality of fractal closed type curves, which bound Jordan domains in R2. The study deals with a novel approach of h-summability condition for the curves, which would be extremely irregular and deserve to be considered fractals. Our technique of proofs is based on the intimate relations between solutions of time-harmonic Maxwell system and those of the Dirac equation through some nonlinear equations, when both cases are reformulated in quaternionic forms.
Databáze: Directory of Open Access Journals
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