带时间依赖惯性系数的Cahn-Hilliard方程的适定性  

Well-posedness for the Cahn-Hilliard equation with time-dependent inertial coefficients

作　　者：刘生清 姜金平[1] 任丽宇 LIU Shengqing;JIANG Jinping;REN Liyu(College of Mathematics&Computer Science,Yan’an University,Yan’an 716000,China)

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《湖北大学学报（自然科学版）》2024年第2期217-224,共8页Journal of Hubei University：Natural Science

基　　金：陕西省自然科学基础研究计划(2018JM1042);延安大学研究生教改项目(YDYJG2019034)资助。

摘　　要：讨论带时间依赖惯性系数的Cahn-Hilliard方程的适定性问题。当非线性项满足弱正则的条件时,利用弱解的渐近紧,通过一系列能量估计,得到其解的适定性。We discussed the well-posed problem of the Cahn-Hilliard equation with time-dependent inertial coefficients.When the nonlinear term satisfied the condition of weak regularity,the asymptotic compactness of the weak solution,then the well-fitting of the solution was obtained through a series of energy estimates.

关 键 词：CAHN-HILLIARD方程 时间依赖惯性系数 适定性 

分 类 号：O175.29[理学—数学]