摘要
This paper deals with the existence and the asymptotic behavior of discontinu- ous traveling wave entropy solutions for a modified Allen-Cahn model, in which, the usual Ficken-based model for phase transition is replaced with a more physical model with nonSn- ear diffusive flux. The discontinuous traveling waves correspond to the discontinuous phase transition phenomena.
This paper deals with the existence and the asymptotic behavior of discontinu- ous traveling wave entropy solutions for a modified Allen-Cahn model, in which, the usual Ficken-based model for phase transition is replaced with a more physical model with nonSn- ear diffusive flux. The discontinuous traveling waves correspond to the discontinuous phase transition phenomena.
基金
supported by the Program for New Century Excellent Talents in University of the Ministry of Education(NCET-13-0804)
NSFC(11471127,11371153)
Guangdong Natural Science Funds for Distinguished Young Scholar(2015A030306029)
the Excellent Young Teachers Program of Guangdong Province
Special support program of Guangdong Province
supported by the Innovation Project of Graduate School of South China Normal University(2016lkxm70)
the High-Level University Developments Innovation Project of Graduate School of South China Normal University(2016YN05)
the Top-Notch Graduate Foundation of South China Normal University(2016028)
supported by the Fundamental Research Funds for the Central Universities(2017BQ109)
China Postdoctoral Science Foundation(2017M610517)
