Periodic solutions of non-isothermal phase separation models with constraint

[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. (C) 2015 Elsevier Inc. All rights reserved.

[发布日期] 2015-12-15

[关键词] Non-isothermal phase separation models;Periodic solution;Subdifferential;Fixed point theorem