Work

A Functional Analytic Perspective to the div-curl Lemma

Year: 2017

Type: article

Abstract: We present an abstract functional analytic formulation of the celebrated $\dive$-$\curl$ lemma found by F.~Murat and L.~Tartar. The viewpoint in this note relies on sequences for operators in Hilbert spaces. Hence, we draw the functional analytic relation of the div-curl lemma to differential forms and other sequences such as the $\Grad\grad$-sequence discovered recently by D.~Pauly and W.~Zulehner in connection with the biharmonic operator.

Source: Strathprints: The University of Strathclyde institutional repository (University of Strathclyde)

DOI: 10.48550/arxiv.1703.09593

Author: Waurick, Marcus

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Engineering and Physical Sciences Research Council

Award: Mathematical foundations of metamaterials: homogenisation, dissipation and operator theory

OpenAlex ID: W2952477353

FWCI:

Cites: 12

Cited by:

Related to: 20