Miranville, A. (2014) Some Mathematical Models in Phase Transition. Discrete & Continuous Dynamical Systems Series S, 7, 271-306.
https://doi.org/10.3934/dcdss.2014.7.271

has been cited by the following article:

• TITLE: On the Caginalp for a Conserve Phase-Field with a Polynomial Potentiel of Order 2p - 1

  AUTHORS: Narcisse Batangouna, Cyr Séraphin Ngamouyih Moussata, Urbain Cyriaque Mavoungou

  KEYWORDS: A Conserved Phase-Field, Polynomial Potentiel of Order 2p - 1, Dirichlet Boundary Conditions, Maxwell-Cattaneo Law

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.12, December 7, 2020

  ABSTRACT: Our aim in this paper is to study on the Caginalp for a conserved phase-field with a polynomial potentiel of order 2p - 1. In this part, one treats the conservative version of the problem of generalized phase field. We consider a regular potential, more precisely a polynomial term of the order 2p - 1 with edge conditions of Dirichlet type. Existence and uniqueness are analyzed. More precisely, we precisely, we prove the existence and uniqueness of solutions.