The time-periodic solutions of the Navier-Stokes equations with mixed boundary conditions

Petr Kučera;

doi:10.3934/dcdss.2010.3.325

The time-periodic solutions of the Navier-Stokes equations with mixed boundary conditions

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2010.3.325 ◽

2010 ◽

Vol 3 (2) ◽

pp. 325-337 ◽

Cited By ~ 6

Author(s):

Petr Kučera ◽

Keyword(s):

Boundary Conditions ◽

Periodic Solutions ◽

Stokes Equations ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Periodic Solutions ◽

Time Periodic

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Time Periodic Solutions of the Navier–Stokes Equations with Nonzero Constant Boundary Conditions at Infinity

SIAM Journal on Mathematical Analysis ◽

10.1137/100809842 ◽

2011 ◽

Vol 43 (4) ◽

pp. 1787-1809 ◽

Cited By ~ 10

Author(s):

Guillaume van Baalen ◽

Peter Wittwer

Keyword(s):

Boundary Conditions ◽

Periodic Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Nonzero Constant ◽

Time Periodic Solutions ◽

Time Periodic ◽

Conditions At Infinity

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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 ◽

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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Time-Periodic Solutions to the Navier-Stokes Equations

Handbook of Mathematical Analysis in Mechanics of Viscous Fluids ◽

10.1007/978-3-319-10151-4_10-1 ◽

2016 ◽

pp. 1-70 ◽

Cited By ~ 1

Author(s):

Giovanni P. Galdi ◽

Mads Kyed

Keyword(s):

Periodic Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Periodic Solutions ◽

Time Periodic

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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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The Rothe method and time periodic solutions to the Navier-Stokes equations and equations of magnetohydrodynamics

Applications of Mathematics ◽

10.21136/am.1990.104392 ◽

1990 ◽

Vol 35 (2) ◽

pp. 89-98

Author(s):

Dana Lauerová

Keyword(s):

Periodic Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Rothe Method ◽

Time Periodic Solutions ◽

Time Periodic

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Bifurcating time-periodic solutions of Navier-Stokes equations in infinite cylinders

Journal of Nonlinear Science ◽

10.1007/bf01209150 ◽

1991 ◽

Vol 1 (1) ◽

pp. 107-146 ◽

Cited By ~ 41

Author(s):

G. Iooss ◽

A. Mielke

Keyword(s):

Periodic Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Periodic Solutions ◽

Time Periodic

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On the Energy Equality for the Weak Time-Periodic Solutions to the Navier–Stokes Equations

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-021-00634-7 ◽

2021 ◽

Vol 24 (1) ◽

Author(s):

Jiaqi Yang

Keyword(s):

Periodic Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Energy Equality ◽

Time Periodic Solutions ◽

Time Periodic

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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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On time periodic solutions, asymptotic stability and bifurcations of Navier-Stokes equations

Numerische Mathematik ◽

10.1007/s00211-016-0812-3 ◽

2016 ◽

Vol 135 (2) ◽

pp. 607-638 ◽

Cited By ~ 1

Author(s):

Chun-Hsiung Hsia ◽

Chang-Yeol Jung ◽

Thien Binh Nguyen ◽

Ming-Cheng Shiue

Keyword(s):

Asymptotic Stability ◽

Periodic Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Periodic Solutions ◽

Stability And Bifurcations ◽

Time Periodic

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On the uniqueness of time-periodic solutions to the Navier–Stokes equations in unbounded domains

Mathematische Zeitschrift ◽

10.1007/s00209-008-0341-6 ◽

2008 ◽

Vol 261 (3) ◽

pp. 597-615 ◽

Cited By ~ 19

Author(s):

Yasushi Taniuchi

Keyword(s):

Periodic Solutions ◽

Stokes Equations ◽

Unbounded Domains ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Periodic Solutions ◽

Time Periodic

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