Periodic Solutions of a Phase-Field Model with Hysteresis

被引：0
|
作者：
Chen Bin
Sergey A. Timoshin
机构：
[1] Huaqiao University,Fujian Province University Key Laboratory of Computational Science, School of Mathematical Sciences
[2] Russian Academy of Sciences,Matrosov Institute for System Dynamics and Control Theory
来源：
Applied Mathematics & Optimization | 2022年 / 85卷
关键词：
Evolution system; Hysteresis; Phase transitions; Periodic solutions;
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摘要：
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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