Optimal Boundary Control of a Viscous Cahn--Hilliard System with Dynamic Boundary Condition and Double Obstacle Potentials

Pierluigi Colli; M. Hassan Farshbaf-Shaker; Gianni Gilardi; Jürgen Sprekels

doi:10.1137/140984749

Optimal Boundary Control of a Viscous Cahn--Hilliard System with Dynamic Boundary Condition and Double Obstacle Potentials

SIAM Journal on Control and Optimization ◽

10.1137/140984749 ◽

2015 ◽

Vol 53 (4) ◽

pp. 2696-2721 ◽

Cited By ~ 31

Author(s):

Pierluigi Colli ◽

M. Hassan Farshbaf-Shaker ◽

Gianni Gilardi ◽

Jürgen Sprekels

Keyword(s):

Boundary Condition ◽

Boundary Control ◽

Dynamic Boundary Condition ◽

Optimal Boundary ◽

Dynamic Boundary ◽

Optimal Boundary Control

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On an optimal boundary control problem with a dynamic boundary condition

Differential Equations ◽

10.1134/s0012266113050133 ◽

2013 ◽

Vol 49 (5) ◽

pp. 640-644 ◽

Cited By ~ 1

Author(s):

E. I. Moiseev ◽

A. A. Kholomeeva

Keyword(s):

Boundary Condition ◽

Control Problem ◽

Boundary Control ◽

Dynamic Boundary Condition ◽

Optimal Boundary ◽

Boundary Control Problem ◽

Dynamic Boundary ◽

Optimal Boundary Control

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Optimal boundary control of a nonstandard viscous Cahn–Hilliard system with dynamic boundary condition

Nonlinear Analysis ◽

10.1016/j.na.2018.01.003 ◽

2018 ◽

Vol 170 ◽

pp. 171-196 ◽

Cited By ~ 4

Author(s):

Pierluigi Colli ◽

Gianni Gilardi ◽

Jürgen Sprekels

Keyword(s):

Boundary Condition ◽

Boundary Control ◽

Dynamic Boundary Condition ◽

Optimal Boundary ◽

Dynamic Boundary ◽

Optimal Boundary Control

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Optimal Boundary Control of a Nonstandard Cahn–Hilliard System with Dynamic Boundary Condition and Double Obstacle Inclusions

Springer INdAM Series - Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs ◽

10.1007/978-3-319-64489-9_7 ◽

2017 ◽

pp. 151-182 ◽

Cited By ~ 3

Author(s):

Pierluigi Colli ◽

Jürgen Sprekels

Keyword(s):

Boundary Condition ◽

Boundary Control ◽

Dynamic Boundary Condition ◽

Optimal Boundary ◽

Dynamic Boundary ◽

Optimal Boundary Control

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An analytic form of an optimal boundary control by displacement at one end of a string under a model nonlocal boundary condition of one of four types

Doklady Mathematics ◽

10.1134/s1064562408030198 ◽

2008 ◽

Vol 77 (3) ◽

pp. 391-395 ◽

Cited By ~ 3

Author(s):

V. A. Il’in

Keyword(s):

Boundary Condition ◽

Boundary Control ◽

Nonlocal Boundary Condition ◽

Nonlocal Boundary ◽

Analytic Form ◽

Optimal Boundary ◽

Optimal Boundary Control

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On the problem of optimal boundary control of vibrations of a spherical layer by a special third boundary condition

Differential Equations ◽

10.1134/s0012266110010143 ◽

2010 ◽

Vol 46 (1) ◽

pp. 132-141

Author(s):

S. A. Sergeev

Keyword(s):

Boundary Condition ◽

Boundary Control ◽

Spherical Layer ◽

Optimal Boundary ◽

Optimal Boundary Control

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Optimal boundary control of string vibrations with a model nonlocal boundary condition of one of two types

Doklady Mathematics ◽

10.1134/s1064562411020098 ◽

2011 ◽

Vol 83 (2) ◽

pp. 171-174 ◽

Cited By ~ 3

Author(s):

A. A. Kholomeeva

Keyword(s):

Boundary Condition ◽

Boundary Control ◽

Nonlocal Boundary Condition ◽

Nonlocal Boundary ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

String Vibrations

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A Boundary Control Problem for the Equation and Dynamic Boundary Condition of Cahn–Hilliard Type

Springer INdAM Series - Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs ◽

10.1007/978-3-319-64489-9_10 ◽

2017 ◽

pp. 255-280 ◽

Cited By ~ 5

Author(s):

Takeshi Fukao ◽

Noriaki Yamazaki

Keyword(s):

Boundary Condition ◽

Control Problem ◽

Boundary Control ◽

Dynamic Boundary Condition ◽

Boundary Control Problem ◽

Dynamic Boundary

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On an optimal boundary control problem for 1-D wave equation with a damping boundary condition

10.1063/1.4854762 ◽

2013 ◽

Author(s):

A. A. Kholomeeva ◽

E. I. Moiseev

Keyword(s):

Boundary Condition ◽

Wave Equation ◽

Control Problem ◽

Boundary Control ◽

Optimal Boundary ◽

Boundary Control Problem ◽

Optimal Boundary Control ◽

D Wave

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Optimization of an optimal boundary control by an elastic force at one end of a string under a model nonlocal boundary condition of one of four types

Doklady Mathematics ◽

10.1134/s1064562408030241 ◽

2008 ◽

Vol 77 (3) ◽

pp. 407-411 ◽

Cited By ~ 2

Author(s):

V. A. Il’in

Keyword(s):

Boundary Condition ◽

Boundary Control ◽

Nonlocal Boundary Condition ◽

Nonlocal Boundary ◽

Elastic Force ◽

Optimal Boundary ◽

Optimal Boundary Control

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Computation of a Constrained Optimal Boundary Control for the Heat Equation

10.23919/acc.1982.4787846 ◽

1982 ◽

Author(s):

Thomas I. Seidman

Keyword(s):

Heat Equation ◽

Boundary Control ◽

Optimal Boundary ◽

Optimal Boundary Control

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