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Existence results for non‐homogeneous boundary conditions in the relaxed micromorphic model
Mathematical Methods in the Applied Sciences ( IF 2.1 ) Pub Date : 2020-09-24 , DOI: 10.1002/mma.6913
Ionel‐Dumitrel Ghiba 1, 2 , Patrizio Neff 3 , Sebastian Owczarek 4
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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.

中文翻译:

松弛微晶模型中非均匀边界条件的存在结果

在本文中,我们从线性松弛微形态模型的背景下从H(curl;Ω)的切线迹的空间中注意到了扩展算子的性质,该理论最近用于描述某些显示非正统性的超材料的行为弹性波传播方面的行为。我们表明,对于动态和静态情况下非均匀边界条件的强解的存在结果,新属性都是重要的。
更新日期:2020-09-24
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