Article ID Journal Published Year Pages File Type
8904465 Acta Mathematica Scientia 2017 21 Pages PDF
Abstract
This paper deals with the existence and the asymptotic behavior of discontinuous 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 nonlinear diffusive flux. The discontinuous traveling waves correspond to the discontinuous phase transition phenomena.
Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
Authors
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