A Boundary Control Problem for the Viscous Cahn-Hilliard Equation with Dynamic Boundary Conditions

被引：49

作者：

Colli, Pierluigi ^{[1
,2
]}

Gilardi, Gianni ^{[1
,2
]}

Sprekels, Juergen ^{[3
,4
]}

机构：

[1] Univ Pavia, Dipartimento Matemat F Casorati, Via Ferrata 1, I-27100 Pavia, Italy

[2] IMATI CNR PAVIA, Via Ferrata 1, I-27100 Pavia, Italy

[3] Karl Weierstrass Inst Math, Mohrenstr 39, D-10117 Berlin, Germany

[4] Humboldt Univ, Dept Math, Unter Linden 6, D-10099 Berlin, Germany

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 2016年 / 73卷 / 02期

关键词：

Cahn-Hilliard equation; Dynamic boundary conditions; Phase separation; Singular potentials; Optimal control; Optimality conditions; Adjoint state system; SINGULAR POTENTIALS; CONVERGENCE; BEHAVIOR; SYSTEM;

D O I：

10.1007/s00245-015-9299-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A boundary control problem for the viscous Cahn-Hilliard equations with possibly singular potentials and dynamic boundary conditions is studied and first order necessary conditions for optimality are proved.

引用

页码：195 / 225

页数：31

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