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

访问文件

10.1016/j.jmaa.2015.07.026

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{a7e02a3a2fa1459199b40e1a9d855bfb,

title = "Periodic solutions of non-isothermal phase separation models with constraint",

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",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc..",

year = "2015",

month = dec,

day = "15",

doi = "10.1016/j.jmaa.2015.07.026",

language = "English",

volume = "432",

pages = "1018--1038",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - Periodic solutions of non-isothermal phase separation models with constraint

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

UR - http://www.scopus.com/inward/record.url?scp=84939264661&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2015.07.026

DO - 10.1016/j.jmaa.2015.07.026

M3 - Article

AN - SCOPUS:84939264661

SN - 0022-247X

VL - 432

SP - 1018

EP - 1038

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Periodic solutions of non-isothermal phase separation models with constraint

摘要

访问文件

其它文件与链接

指纹

引用此