Existence for a nonlocal Penrose-Fife type phase field system with inertial term
DOI:
https://doi.org/10.58997/ejde.2023.40Keywords:
Nonlocal Penrose-Fife type phase field systems; inertial terms; existence; approximation and time discretizationAbstract
This article presents a nonlocal Penrose-Fife type phase field system with inertial term. We do not know whether we can prove the existence of solutions to the problem as in Colli-Grasselli-Ito [3] or not. In this article we introduce a time discretization scheme, then pass to the limit as the time step h approaches 0, and obtain an error estimate for the difference between the continuous solution and the discrete solution.
For more information see https://ejde.math.txstate.edu/Volumes/2023/40/abstr.html
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