Existence results for non-homogeneous boundary conditions in the relaxed micromorphic model

被引：10

作者：

Ghiba, Ionel-Dumitrel ^{[1
,2
]}

Neff, Patrizio ^{[3
]}

Owczarek, Sebastian ^{[4
]}

机构：

[1] Alexandru Ioan Cuza Univ, Dept Math, Blvd Carol 1,11, Iasi 700506, Romania

[2] Romanian Acad, Octav Mayer Inst Math, Iasi, Romania

[3] Univ Duisburg Essen, Head Lehrstuhl Nichtlineare Anal & Modellierung, Fak Math, Campus Essen, Essen, Germany

[4] Warsaw Univ Technol, Fac Math & Informat Sci, Warsaw, Poland

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 02期

关键词：

extension operator; generalized continua; inhomogeneous boundary conditions; tangential trace; KORNS 1ST INEQUALITY; TENSOR-FIELDS; MAXWELL; EXTENSION; WAVES;

D O I：

10.1002/mma.6913

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we notice a property of the extension operator from the space of tangential traces of H(curl; omega) 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.

引用

页码：2040 / 2049

页数：10

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