The p-curl system in extension domains
Simone Creo, Maria Rosaria Lancia · Discrete and Continuous Dynamical Systems - S · 2023
In this paper we prove well-posedness results for a parabolic $ p $-$ {\rm{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.