Periodic solutions of a phase-field model with hysteresis

Chen Bin; Sergey A. Timoshin

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arXiv · 2001.04149

Periodic solutions of a phase-field model with hysteresis

Chen Bin·Sergey A. Timoshin

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Abstract

In the present paper we consider a partial differential system describing a phase-field model with temperature dependent constraint for the order parameter. The system consists of an energy balance equation with a fairly general nonlinear heat source term and a phase dynamics equation which takes into account the hysteretic character of the process. The existence of a periodic solution for this system is proved under a minimal set of assumptions on the curves defining the corresponding hysteresis region.

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Chen Bin, Sergey A. Timoshin. 2020-01-13. Periodic solutions of a phase-field model with hysteresis. https://arxiv.org/abs/2001.04149

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