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;

D O I：

暂无

中图分类号：

学科分类号：

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

引用

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