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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2305.09413 |
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| _version_ | 1866912169514237952 |
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| author | Buchinger, Andreas Doherty, Michael |
| author_facet | Buchinger, Andreas Doherty, Michael |
| contents | Based on a combination of insights afforded by Rainer Picard and Serge Nicaise, we extend a set of abstract piezo-electromagnetic impedance boundary conditions. We achieve this by accommodating for the influence of heat with the inclusion of a new equation and additional boundary terms. We prove the evolutionary well-posedness of a known thermo-piezo-electromagnetic system under these boundary conditions. Evolutionary well-posedness here means unique solvability as well as continuous and causal dependence on given data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_09413 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On some Impedance Boundary Conditions for a Thermo-Piezo-Electromagnetic System Buchinger, Andreas Doherty, Michael Analysis of PDEs Functional Analysis Based on a combination of insights afforded by Rainer Picard and Serge Nicaise, we extend a set of abstract piezo-electromagnetic impedance boundary conditions. We achieve this by accommodating for the influence of heat with the inclusion of a new equation and additional boundary terms. We prove the evolutionary well-posedness of a known thermo-piezo-electromagnetic system under these boundary conditions. Evolutionary well-posedness here means unique solvability as well as continuous and causal dependence on given data. |
| title | On some Impedance Boundary Conditions for a Thermo-Piezo-Electromagnetic System |
| topic | Analysis of PDEs Functional Analysis |
| url | https://arxiv.org/abs/2305.09413 |