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.