Existence for a singular nonlocal phase field system with inertial term
Abstract
In this paper we deal with a singular nonlocal phase field system with inertial term. The system has the logarithm of the absolute temperature θ under time derivative. Although the system has a difficult mathematical point caused by the combination of ( θ)t, the inertial term and the nonlocal diffusion term for the order parameter (see Section 1.1), we can establish existence of solutions by a key estimate (see Remark 1.1).
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