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. - 0:0(2023), pp. -0. [10.3934/dcdss.2023113]
The p-curl system in extension domains
Creo, Simone;Lancia, Maria Rosaria
2023
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.File allegati a questo prodotto
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