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

Telma Guerra; Adélia Sequeira; Jorge Tiago

doi:10.4171/pm/1968

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 ◽

Cited By ~ 7

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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Optimal boundary control for nonstationary problems of fluid flow and nonhomogeneous boundary value problems for the Navier-Stokes equations

Optimal Control of Distributed Systems. Theory and Applications - Translations of Mathematical Monographs ◽

10.1090/mmono/187/05 ◽

1999 ◽

pp. 193-232

Keyword(s):

Fluid Flow ◽

Boundary Value Problems ◽

Boundary Control ◽

Stokes Equations ◽

Boundary Value ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Optimal Boundary ◽

Nonhomogeneous Boundary ◽

Optimal Boundary Control

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A finite element discretization of the three-dimensional Navier–Stokes equations with mixed boundary conditions

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2009035 ◽

2009 ◽

Vol 43 (6) ◽

pp. 1185-1201 ◽

Cited By ~ 10

Author(s):

Christine Bernardi ◽

Frédéric Hecht ◽

Rüdiger Verfürth

Keyword(s):

Finite Element ◽

Boundary Conditions ◽

Stokes Equations ◽

Mixed Boundary ◽

Three Dimensional ◽

Mixed Boundary Conditions ◽

Navier Stokes ◽

Finite Element Discretization ◽

Navier Stokes Equations ◽

Element Discretization

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A saddle point approach to an optimal boundary control problem for steady Navier-Stokes equations

Mathematics in Engineering ◽

10.3934/mine.2019.2.252 ◽

2019 ◽

Vol 1 (2) ◽

pp. 252-280

Author(s):

Andrea Manzoni ◽

◽

Alfio Quarteroni ◽

Sandro Salsa ◽

◽

...

Keyword(s):

Saddle Point ◽

Control Problem ◽

Boundary Control ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Optimal Boundary ◽

Boundary Control Problem ◽

Optimal Boundary Control

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Boundary Stabilization of the Navier--Stokes Equations in the Case of Mixed Boundary Conditions

SIAM Journal on Control and Optimization ◽

10.1137/13091364x ◽

2015 ◽

Vol 53 (5) ◽

pp. 3006-3039 ◽

Cited By ~ 21

Author(s):

Phuong Anh Nguyen ◽

Jean-Pierre Raymond

Keyword(s):

Boundary Conditions ◽

Stokes Equations ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Navier Stokes ◽

Boundary Stabilization ◽

Navier Stokes Equations

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The steady Navier-Stokes equations with mixed boundary conditions: application to free boundary flows

Nonlinear Analysis ◽

10.1016/0362-546x(93)90094-9 ◽

1993 ◽

Vol 20 (9) ◽

pp. 1043-1068

Author(s):

C. le Roux ◽

B.D. Reddy

Keyword(s):

Free Boundary ◽

Boundary Conditions ◽

Stokes Equations ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Navier Stokes ◽

Navier Stokes Equations

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Adjoint-Based Optimal Boundary Control of a Stefan Problem System Fully Coupled with Navier-Stokes Equations

PAMM ◽

10.1002/pamm.201610378 ◽

2016 ◽

Vol 16 (1) ◽

pp. 779-780 ◽

Cited By ~ 1

Author(s):

Björn Baran ◽

Jan Heiland

Keyword(s):

Boundary Control ◽

Stefan Problem ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

Fully Coupled

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Basic properties of solution of the non-steady Navier–Stokes equations with mixed boundary conditions in a bounded domain

ANNALI DELL UNIVERSITA DI FERRARA ◽

10.1007/s11565-009-0082-4 ◽

2009 ◽

Vol 55 (2) ◽

pp. 289-308 ◽

Cited By ~ 9

Author(s):

Petr Kučera

Keyword(s):

Boundary Conditions ◽

Bounded Domain ◽

Stokes Equations ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Basic Properties

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Solutions to the Navier-Stokes equations with mixed boundary conditions in two-dimensional bounded domains

Mathematische Nachrichten ◽

10.1002/mana.201400046 ◽

2015 ◽

Vol 289 (2-3) ◽

pp. 194-212 ◽

Cited By ~ 11

Author(s):

Michal Beneš ◽

Petr Kučera

Keyword(s):

Boundary Conditions ◽

Stokes Equations ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Navier Stokes ◽

Bounded Domains ◽

Two Dimensional ◽

Navier Stokes Equations

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Study of a class of control problems for the stationary Navier-Stokes equations with mixed boundary conditions

Journal of Applied and Industrial Mathematics ◽

10.1134/s1990478910030026 ◽

2010 ◽

Vol 4 (3) ◽

pp. 309-317

Author(s):

R. V. Brizitskii

Keyword(s):

Boundary Conditions ◽

Stokes Equations ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Navier Stokes ◽

Control Problems ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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On the rotating Navier-Stokes equations with mixed boundary conditions

Acta Mathematica Sinica English Series ◽

10.1007/s10114-007-1032-7 ◽

2008 ◽

Vol 24 (4) ◽

pp. 577-598 ◽

Cited By ~ 8

Author(s):

Kai Tai Li ◽

Rong An

Keyword(s):

Boundary Conditions ◽

Stokes Equations ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Navier Stokes ◽

Navier Stokes Equations

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