Optimal Boundary Control of a Simplified Ericksen–Leslie System for Nematic Liquid Crystal Flows in 2D

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-017-1095-2 ◽

2017 ◽

Vol 224 (3) ◽

pp. 1037-1086 ◽

Author(s):

Cecilia Cavaterra ◽

Elisabetta Rocca ◽

Hao Wu

Keyword(s):

Liquid Crystal ◽

Boundary Control ◽

Nematic Liquid Crystal ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

Nematic Liquid Crystal Flows ◽

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Optimal distributed control of a 2D simplified Ericksen–Leslie system for the nematic liquid crystal flows

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2019.103014 ◽

2020 ◽

Vol 51 ◽

pp. 103014

Author(s):

Qiao Liu

Keyword(s):

Liquid Crystal ◽

Distributed Control ◽

Nematic Liquid Crystal ◽

Nematic Liquid Crystal Flows ◽

Leslie System ◽

Optimal Distributed Control

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Pullback attractors of the two-dimensional non-autonomous simplified Ericksen–Leslie system for nematic liquid crystal flows

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-016-0680-9 ◽

2016 ◽

Vol 67 (4) ◽

Author(s):

Bo You ◽

Fang Li

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Two Dimensional ◽

Pullback Attractors ◽

Nematic Liquid Crystal Flows ◽

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Global weak solution and blow-up criterion of the general Ericksen–Leslie system for nematic liquid crystal flows

Journal of Differential Equations ◽

10.1016/j.jde.2013.03.009 ◽

2013 ◽

Vol 255 (1) ◽

pp. 24-57 ◽

Author(s):

Cecilia Cavaterra ◽

Elisabetta Rocca ◽

Hao Wu

Keyword(s):

Weak Solution ◽

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Blow Up ◽

Global Weak Solution ◽

Nematic Liquid Crystal Flows ◽

Leslie System ◽

Blow Up Criterion

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On optimal boundary control of Ericksen–Leslie system in dimension two

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-019-1676-z ◽

2020 ◽

Vol 59 (1) ◽

Author(s):

Qiao Liu ◽

Changyou Wang ◽

Xiaotao Zhang ◽

Jianfeng Zhou

Keyword(s):

Boundary Control ◽

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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Existence of optimal boundary control for the Navier–Stokes equations with mixed boundary conditions

Portugaliae Mathematica ◽

10.4171/pm/1968 ◽

2015 ◽

Vol 72 (2) ◽

pp. 267-283 ◽

Author(s):

Telma Guerra ◽

Adélia Sequeira ◽

Jorge Tiago

Keyword(s):

Boundary Conditions ◽

Boundary Control ◽

Stokes Equations ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Optimal 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 ◽

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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Long-Time Behavior for a Hydrodynamic Model on Nematic Liquid Crystal Flows with Asymptotic Stabilizing Boundary Condition and External Force

SIAM Journal on Mathematical Analysis ◽

10.1137/120866476 ◽

2013 ◽

Vol 45 (3) ◽

pp. 965-1002 ◽

Author(s):

Maurizio Grasselli ◽

Hao Wu

Keyword(s):

Boundary Condition ◽

Liquid Crystal ◽

Nematic Liquid Crystal ◽

External Force ◽

Hydrodynamic Model ◽

Time Behavior ◽

Long Time Behavior ◽

Long Time ◽

Nematic Liquid Crystal Flows

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A Nonoverlapping Domain Decomposition for Optimal Boundary Control of the Dynamic Maxwell System

Control Of Nonlinear Distributed Parameter Systems ◽

10.1201/9780203904190.ch8 ◽

2001 ◽

Author(s):

J Lagnese

Keyword(s):

Domain Decomposition ◽

Boundary Control ◽

Maxwell System ◽

Nonoverlapping Domain ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

Nonoverlapping Domain Decomposition

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Optimal boundary control of nonsteady incompressible flow with an application to viscous drag reduction

10.1109/cdc.1990.203619 ◽

1990 ◽

Author(s):

T.P. Svobodny ◽

M.D. Gunzburger ◽

L.S. Hou

Keyword(s):

Drag Reduction ◽

Boundary Control ◽

Incompressible Flow ◽

Viscous Drag ◽

Optimal Boundary ◽

Optimal Boundary Control

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