Div-curl lemma revisited: applications in electromagnetims

Title:

Div-curl lemma revisited: applications in electromagnetims

Creator:

Slodička, Marián and Buša, Jr., Ján

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:c851c916-e104-410e-9d3e-93a073267bb8
uuid:c851c916-e104-410e-9d3e-93a073267bb8

Subject:

compensated compactness, convergence, and vector fields

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Two new time-dependent versions of div-curl results in a bounded domain \domain⊂\RR3 are presented. We study a limit of the product \vectorvk\vectorwk, where the sequences \vectorvk and \vectorwk belong to \Lp2. In Theorem ??? we assume that \rotor\vectorvk is bounded in the Lp-norm and \diver\vectorwk is controlled in the Lr-norm. In Theorem ??? we suppose that \rotor\vectorwk is bounded in the Lp-norm and \diver\vectorwk is controlled in the Lr-norm. The time derivative of \vectorwk is bounded in both cases in the norm of \Hk−1. The convergence (in the sense of distributions) of \vectorvk\vectorwk to the product \vectorv\vectorw of weak limits of \vectorvk and \vectorwk is shown.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[328]-340

Source:

Kybernetika | 2010 Volume:46 | Number:2

Harvested from:

CDK

Metadata only:

false