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.
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页码：195 / 225
页数：31
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