Dirk Pauly
Published 2018-08-01Version 1
We prove a global version of the so-called div-curl-lemma, a crucial result for compensated compactness and in homogenization theory, for mixed tangential and normal boundary conditions in bounded weak Lipschitz domains in 3D and weak Lipschitz interfaces. The crucial tools and the core of our arguments are the de Rham complex and Weck's selection theorem, the essential compact embedding result for Maxwell's equations.
Comments: proceeding note keywords: div-curl-lemma, compensated compactness, mixed boundary conditions, weak Lipschitz domains, Maxwell's equations. arXiv admin note: text overlap with arXiv:1707.00019
A Global div-curl-Lemma for Mixed Boundary Conditions in Weak Lipschitz Domains and a Corresponding Generalized $\mathrm{A}_{0}^{*}$-$\mathrm{A}_{1}$-Lemma in Hilbert Spaces
The Maxwell Compactness Property for Bounded Weak Lipschitz Domains with Mixed Boundary Conditions in ND
On Korn's First Inequality for Tangential or Normal Boundary Conditions with Explicit Constants
![QR code for arXiv:1808.01234 [math.AP]](http://oss.arxitics.com/images/favicon.svg)