A global higher regularity result for the static relaxed micromorphic model on smooth domains
| Autor: | Knees, Dorothee, Owczarek, Sebastian, Neff, Patrizio |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1017/prm.2024.63 |
| Popis: | We derive a global higher regularity result for weak solutions of the linear relaxed micromorphic model on smooth domains. The governing equations consist of a linear elliptic system of partial differential equations that is coupled with a system of Maxwell-type. The result is obtained by combining a Helmholtz decomposition argument with regularity results for linear elliptic systems and the classical embedding of $H(\mathrm{div};\Omega)\cap H_0(\mathrm{curl};\Omega)$ into $H^1(\Omega)$. Comment: 14 pages |
| Databáze: | arXiv |
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