Explicit div-curl inequalities in bounded and unbounded domains of R 3

Explicit div-curl inequalities in bounded and unbounded domains of R 3

We give a constructive proof of some functional inequalities related to the div and curl operators in bounded and unbounded domains of R 3 . Our new innovation consists in giving explicit constants in several geometric configurations. These inequalities are of a first use in solving div-curl systems...

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Veröffentlicht in:Annali dell'Università di Ferrara. Sezione 7. Scienze matematiche 2017-01, Vol.63 (2), p.249-276
Hauptverfasser: Boulmezaoud, Tahar Zamene, Kaliche, Keltoum, Kerdid, Nabil
Format: Artikel
Sprache:eng
Schlagworte:
Inequalities
Innovations
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Beschreibung
Zusammenfassung:We give a constructive proof of some functional inequalities related to the div and curl operators in bounded and unbounded domains of R 3 . Our new innovation consists in giving explicit constants in several geometric configurations. These inequalities are of a first use in solving div-curl systems and vector potential problems arising in physics.
ISSN:0430-3202
1827-1510
DOI:10.1007/s11565-016-0266-7