Some properties on the surfaces of vector fields and its application to the Stokes and Navier–Stokes problems with mixed boundary conditions

Nonlinear Analysis ◽

10.1016/j.na.2014.09.017 ◽

2015 ◽

Vol 113 ◽

pp. 94-114 ◽

Author(s):

Tujin Kim ◽

Daomin Cao

Keyword(s):

Boundary Conditions ◽

Vector Fields ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Navier Stokes ◽

Stokes Problems

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Erratum to “Some properties on the surfaces of vector fields and its application to the Stokes and Navier–Stokes problems with mixed boundary conditions” [Nonlinear Anal. 113 (2015) 94–114]

Nonlinear Analysis ◽

10.1016/j.na.2016.01.003 ◽

2016 ◽

Vol 135 ◽

pp. 249-250

Author(s):

Tujin Kim

Keyword(s):

Boundary Conditions ◽

Vector Fields ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Navier Stokes ◽

Nonlinear Anal ◽

Stokes Problems

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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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Spectral discretization of the Navier–Stokes problem with mixed boundary conditions

Applied Numerical Mathematics ◽

10.1016/j.apnum.2017.02.002 ◽

2017 ◽

Vol 118 ◽

pp. 33-49

Author(s):

Yasmina Daikh ◽

Driss Yakoubi

Keyword(s):

Boundary Conditions ◽

Mixed Boundary ◽

Stokes Problem ◽

Mixed Boundary Conditions ◽

Navier Stokes ◽

Spectral Discretization

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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 ◽

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 compactness result for vector fields with divergence and curl in Lq(ω) involving mixed boundary conditions

Applicable Analysis ◽

10.1080/00036819708840581 ◽

1997 ◽

Vol 66 (1-2) ◽

pp. 189-203 ◽

Author(s):

F. Jochmann

Keyword(s):

Boundary Conditions ◽

Vector Fields ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Compactness Result

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Boundary control of small solutions to fluid–structure interactions arising in coupling of elasticity with Navier–Stokes equation under mixed boundary conditions

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2018.04.004 ◽

2018 ◽

Vol 44 ◽

pp. 54-85

Author(s):

Irena Lasiecka ◽

Katarzyna Szulc ◽

Antoni Żochowski

Keyword(s):

Boundary Conditions ◽

Stokes Equation ◽

Boundary Control ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Navier Stokes ◽

Fluid Structure Interactions ◽

Navier Stokes Equation ◽

Fluid Structure

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On the Navier–Stokes flows for heat-conducting fluids with mixed boundary conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.12.017 ◽

2012 ◽

Vol 389 (2) ◽

pp. 769-780 ◽

Author(s):

Michal Beneš ◽

Petr Kučera

Keyword(s):

Boundary Conditions ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Navier Stokes ◽

Heat Conducting ◽

Stokes Flows ◽

Heat Conducting Fluids ◽

Conducting Fluids

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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 ◽

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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Helmholtz decomposition of vector fields with mixed boundary conditions and an application to a posteriori finite element error analysis of the Maxwell system

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3104 ◽

2014 ◽

Vol 38 (4) ◽

pp. 738-750 ◽

Author(s):

Emmanuel Creusé ◽

Serge Nicaise ◽

Zuqi Tang

Keyword(s):

Finite Element ◽

Error Analysis ◽

Boundary Conditions ◽

Vector Fields ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Helmholtz Decomposition ◽

Maxwell System ◽

A Posteriori ◽

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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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