非局部的对流Cahn-Hilliard方程  

Nonlocal convective Cahn-Hilliard equation

作　　者：徐婷 蒲志林 XU Ting;PU Zhi-lin(School of Math.Sci.,Sichuan Normal Univ.,Chengdu 610066,China)

机构地区：[1]四川师范大学数学科学学院,四川成都610066

出　　处：《高校应用数学学报（A辑）》2022年第4期441-447,共7页Applied Mathematics A Journal of Chinese Universities(Ser.A)

摘　　要：考虑非局部对流Cahn-Hilliard方程Neumann边界问题解的最大值估计.对流Cahn-Hilliard方程可以描述许多的物理现象,如相分离系统中的二元合金和热力学不稳定晶体表面的生长等现象.近年来,对具有对流项的经典Cahn-Hilliard方程的研究有很多,而对非局部对流Cahn-Hilliard方程的研究相对较少.主要利用特殊的迭代方法和Nirenberg-Gagliardo不等式,得到了该问题经典解在闭区域上的最大值估计.This paper considers the maximum estimation of the solution of Neumann boundary problems for nonlocal convective Cahn-Hilliard equations.Convective Cahn-Hilliaed equation can describe many physical phenomena,such as binary alloys in phase separation systems and the growth of thermodynamically unstable crystal surfaces.In recent years,there are many studies on classical Cahn-Hilliard equation with convective term,but relatively few studies on nonlocal convective CahnHilliard equation.In this paper,Nirenberg-Gagliardo inequality and special iterative method are used to obtain the maximum estimate for the classical solution in the closed domain.

关 键 词：对流Cahn-Hilliard方程 非局部Cahn-Hilliard方程 Nirenberg-Gagliardo不等式 解的最大值估计 

分 类 号：O175.2[理学—数学]