Dirichlet Type Problem for 2D Quaternionic Time-Harmonic Maxwell System in Fractal Domains
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 extre...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/4735357 |
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| _version_ | 1832567420976365568 |
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| author | Yudier Peña Pérez Ricardo Abreu Blaya Paul Bosch Juan Bory Reyes |
| author_facet | Yudier Peña Pérez Ricardo Abreu Blaya Paul Bosch Juan Bory Reyes |
| author_sort | Yudier Peña Pérez |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-0789c0b3bb9e49d6b2973683385c7643 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-0789c0b3bb9e49d6b2973683385c76432025-02-03T01:01:30ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/47353574735357Dirichlet Type Problem for 2D Quaternionic Time-Harmonic Maxwell System in Fractal DomainsYudier Peña Pérez0Ricardo Abreu Blaya1Paul Bosch2Juan Bory Reyes3SEPI-ESIME-ZAC-Instituto Politécnico Nacional, Ciudad México, MexicoFacultad de Matemática, Universidad Autónoma de Guerrero, Chilpancingo, Guerrero, MexicoFacultad de Ingeniería, Universidad del Desarrollo, Santiago de Chile, ChileSEPI-ESIME-ZAC-Instituto Politécnico Nacional, Ciudad México, MexicoWe 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.http://dx.doi.org/10.1155/2020/4735357 |
| spellingShingle | Yudier Peña Pérez Ricardo Abreu Blaya Paul Bosch Juan Bory Reyes Dirichlet Type Problem for 2D Quaternionic Time-Harmonic Maxwell System in Fractal Domains Advances in Mathematical Physics |
| title | Dirichlet Type Problem for 2D Quaternionic Time-Harmonic Maxwell System in Fractal Domains |
| title_full | Dirichlet Type Problem for 2D Quaternionic Time-Harmonic Maxwell System in Fractal Domains |
| title_fullStr | Dirichlet Type Problem for 2D Quaternionic Time-Harmonic Maxwell System in Fractal Domains |
| title_full_unstemmed | Dirichlet Type Problem for 2D Quaternionic Time-Harmonic Maxwell System in Fractal Domains |
| title_short | Dirichlet Type Problem for 2D Quaternionic Time-Harmonic Maxwell System in Fractal Domains |
| title_sort | dirichlet type problem for 2d quaternionic time harmonic maxwell system in fractal domains |
| url | http://dx.doi.org/10.1155/2020/4735357 |
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