Dirichlet Type Problem for 2D Quaternionic Time-Harmonic Maxwell System in Fractal Domains
Joint Authors
Bosch, Paul
Pérez, Yudier Peña
Blaya, Ricardo Abreu
Bory Reyes, Juan
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-01-31
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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 R 2 .
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.
American Psychological Association (APA)
Pérez, Yudier Peña& Blaya, Ricardo Abreu& Bosch, Paul& Bory Reyes, Juan. 2020. Dirichlet Type Problem for 2D Quaternionic Time-Harmonic Maxwell System in Fractal Domains. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1127393
Modern Language Association (MLA)
Pérez, Yudier Peña…[et al.]. Dirichlet Type Problem for 2D Quaternionic Time-Harmonic Maxwell System in Fractal Domains. Advances in Mathematical Physics No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1127393
American Medical Association (AMA)
Pérez, Yudier Peña& Blaya, Ricardo Abreu& Bosch, Paul& Bory Reyes, Juan. Dirichlet Type Problem for 2D Quaternionic Time-Harmonic Maxwell System in Fractal Domains. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1127393
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127393