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Existence results for non‐homogeneous boundary conditions in the relaxed micromorphic model
Authors:
- Ionel‐Dumitrel Ghiba,
- Patrizio Neff,
- Sebastian Owczarek
Abstract
In this paper, we notice a property of the extension operator from the space of tangential traces of H(curl, Ω) in the context of the linear relaxed micromorphic model, a theory that is recently used to describe the behavior of some metamaterials showing unorthodox behaviors with respect to elastic wave propagation. We show that the new property is important for existence results of strong solution for non‐homogeneous boundary condition in both the dynamic and the static case.
- Record ID
- WUT17b1093615ad471591f911131215f3ef
- Author
- Journal series
- Mathematical Methods in the Applied Sciences, ISSN 0170-4214, e-ISSN 1099-1476
- Issue year
- 2021
- Vol
- 44
- No
- 2
- Pages
- 2040-2049
- Publication size in sheets
- 0.50
- Keywords in Polish
- operator śladu w kierunku stycznym, operator rozszerzenia, modele mikromorficzne
- Keywords in English
- tangential trace, extension operator, generalised continua, inhomogeneous boundary conditions
- ASJC Classification
- ;
- Abstract in Polish
- W artykule pokazujemy istnienie rozwiązania dla dynamicznego oraz zrelaksowanego modelu mikromorphicznego z niejednorosnym warunkiem brzegowym. Dowód oparty jest na dodatkowych własnościach operatora rozszerzenia z przestrzeni śladów stycznych H(curl,Omega).
- DOI
- DOI:10.1002/mma.6913 Opening in a new tab
- URL
- https://onlinelibrary.wiley.com/doi/epdf/10.1002/mma.6913 Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 100
- Score source
- journalList
- Score
- = 100.0, 14-06-2021, ArticleFromJournal
- Publication indicators
- : 2017 = 0.778; : 2019 (2 years)= 1.626 - 2019 (5 years)=1.466
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- Uniform Resource Identifier
- https://repo.pw.edu.pl/info/article/WUT17b1093615ad471591f911131215f3ef/
- URN
urn:pw-repo:WUT17b1093615ad471591f911131215f3ef
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.