In this paper we prove well-posedness results for a parabolic p-curl system on a three-dimensional bounded extension domain. In view of the numerical approximation, we investigate the asymptotic behavior of the solutions to suitable approximating problems. Crucial tools are a Stokes formula and a Gaffney inequality for extensions domains.

The p-curl system in extension domains / Creo, Simone; Lancia, Maria Rosaria. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - 17:5&6(2024), pp. 2208-2223. [10.3934/dcdss.2023113]

The p-curl system in extension domains

Creo, Simone;Lancia, Maria Rosaria
2024

Abstract

In this paper we prove well-posedness results for a parabolic p-curl system on a three-dimensional bounded extension domain. In view of the numerical approximation, we investigate the asymptotic behavior of the solutions to suitable approximating problems. Crucial tools are a Stokes formula and a Gaffney inequality for extensions domains.
2024
Maxwell equations; Stokes formula; irregular domains; nonlinear semigroups; Gaffney inequality; Mosco convergence
01 Pubblicazione su rivista::01a Articolo in rivista
The p-curl system in extension domains / Creo, Simone; Lancia, Maria Rosaria. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - 17:5&6(2024), pp. 2208-2223. [10.3934/dcdss.2023113]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1696235
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