THE CAGINALP PHASE FIELD SYSTEMS WITH LOGARITHMIC NONLINEAR TERMS

被引：1

作者：

Cherfils, Laurence ^{[1
]}

Miranville, Alain ^{[2
,3
,4
]}

机构：

[1] La Rochelle Univ, CNRS, LaSIE, UMR 7356, Ave Michel Crepeau, La Rochelle 1, France

[2] Henan Normal Univ, Sch Math & Informat Sci Xinxiang, Xinxiang, Henan, Peoples R China

[3] Univ Poitiers, Lab I3M, 11 Blvd Marie & Pierre Curie-Batiment H3 TSA 61125, F-86073 Poitiers 9, France

[4] Lab Math & ApplicationsEquipe DACTIM MIS, 11 Blvd Marie & Pierre Curie-Batiment H3TSA 61125, F-86073 Poitiers 9, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2023年 / 16卷 / 09期

关键词：

Caginalp phase field systems; logarithmic nonlinear term; well-posedness; strict separation property; EXPONENTIAL ATTRACTORS; ASYMPTOTIC-BEHAVIOR; CAHN-HILLIARD; MODEL; CONVERGENCE; EQUATIONS;

D O I：

10.3934/dcdss.2023081

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our aim in this paper is to study the existence and uniqueness of solutions to several phase field systems with logarithmic nonlinear terms. These systems were either proposed by Gunduz Cagninalp or are variants of these models, based on other laws than the usual Fourier law for heat conduction. In particular, an essential step is the separation of the order parameter from the pure phases.

引用

页码：2279 / 2304

页数：26

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