An Allen-Cahn equation based on an unconstrained order parameter and its Cahn-Hilliard limit

[摘要] Our aim in this paper is to study an Allen-Cahn model based on a microforce balance and an unconstrained order parameter. We obtain the existence, uniqueness and regularity of solutions and prove that the solutions converge to those to the original Cahn-Hilliard equation on finite time intervals as a small parameter goes to zero. (c) 2021 Elsevier Inc. All rights reserved.

[发布日期] 2021-12-15

[关键词] Allen-Cahn system;Microforce balance;Unconstrained order parameter;Cahn-Hilliard system;Well-posedness;Passage to the limit