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^*

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1018-1038
Number of pages	21
Journal	Journal of Mathematical Analysis and Applications
Volume	432
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2015.07.026
Publication status	Published - 15 Dec 2015

Keywords

Fixed point theorem
Non-isothermal phase separation models
Periodic solution
Subdifferential

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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.",

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AU - Zheng, Jiashan

AU - Wang, Yifu

PY - 2015/12/15

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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.

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KW - Non-isothermal phase separation models

KW - Periodic solution

KW - Subdifferential

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IS - 2

ER -

Periodic solutions of non-isothermal phase separation models with constraint

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Keywords

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