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arXiv · 2208.04821

A local regularity result for the relaxed micromorphic model based on inner variations

Dorothee Knees·Sebastian Owczarek·Patrizio Neff
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Abstract

In this paper we study local higher regularity properties of a linear elliptic system that is coupled with a system of Maxwell-type. The regularity result is proved by means of a modified finite difference argument. These modified finite differences are based on inner variations combined with a Piola-type transformation in order to preserve the $\curl$-structure in the Maxwell system. The result is applied to the relaxed micromorphic model.

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Dorothee Knees, Sebastian Owczarek, Patrizio Neff. 2022-08-09. A local regularity result for the relaxed micromorphic model based on inner variations. https://arxiv.org/abs/2208.04821

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