Author(s)

Narcisse Batangouna, Cyr Séraphin Ngamouyih Moussata, Urbain Cyriaque Mavoungou

Faculté des Sciences et Techniques Université Marien Ngouabi Brazzaville, République du Congo.

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.

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

Batangouna, N. , Moussata, C. and Mavoungou, U. (2020) On the Caginalp for a Conserve Phase-Field with a Polynomial Potentiel of Order 2p - 1. Journal of Applied Mathematics and Physics, 8, 2744-2756. doi: 10.4236/jamp.2020.812203.