Periodic solutions of non-isothermal phase separation models with constraint

Jiashan Zheng; Yifu Wang

doi:10.1016/j.jmaa.2015.07.026

Periodic solutions of non-isothermal phase separation models with constraint

Jiashan Zheng, Yifu Wang^*

^*此作品的通讯作者

数学学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

In this paper, we consider the existence of time periodic solutions to the non-isothermal phase separation models with constraints for the order parameter and the Dirichlet boundary condition for the temperature. We firstly address some approximate problems by the Leray-Schauder fixed point theorem. Then the periodic solutions of the original problem are obtained by establishing some a priori estimates and performing a limiting procedure.

源语言	英语
页（从-至）	1018-1038
页数	21
期刊	Journal of Mathematical Analysis and Applications
卷	432
期	2
DOI	https://doi.org/10.1016/j.jmaa.2015.07.026
出版状态	已出版 - 15 12月 2015

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Zheng, J., & Wang, Y. (2015). Periodic solutions of non-isothermal phase separation models with constraint. Journal of Mathematical Analysis and Applications, 432(2), 1018-1038. https://doi.org/10.1016/j.jmaa.2015.07.026

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abstract = "In this paper, we consider the existence of time periodic solutions to the non-isothermal phase separation models with constraints for the order parameter and the Dirichlet boundary condition for the temperature. We firstly address some approximate problems by the Leray-Schauder fixed point theorem. Then the periodic solutions of the original problem are obtained by establishing some a priori estimates and performing a limiting procedure.",

keywords = "Fixed point theorem, Non-isothermal phase separation models, Periodic solution, Subdifferential",

author = "Jiashan Zheng and Yifu Wang",

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AU - Zheng, Jiashan

AU - Wang, Yifu

PY - 2015/12/15

Y1 - 2015/12/15

N2 - In this paper, we consider the existence of time periodic solutions to the non-isothermal phase separation models with constraints for the order parameter and the Dirichlet boundary condition for the temperature. We firstly address some approximate problems by the Leray-Schauder fixed point theorem. Then the periodic solutions of the original problem are obtained by establishing some a priori estimates and performing a limiting procedure.

AB - In this paper, we consider the existence of time periodic solutions to the non-isothermal phase separation models with constraints for the order parameter and the Dirichlet boundary condition for the temperature. We firstly address some approximate problems by the Leray-Schauder fixed point theorem. Then the periodic solutions of the original problem are obtained by establishing some a priori estimates and performing a limiting procedure.

KW - Fixed point theorem

KW - Non-isothermal phase separation models

KW - Periodic solution

KW - Subdifferential

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JF - Journal of Mathematical Analysis and Applications

IS - 2

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Periodic solutions of non-isothermal phase separation models with constraint

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