Existence and uniqueness of time-periodic solutions to the Navier-Stokes equations in the whole plane

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2013.6.1237 ◽

2013 ◽

Vol 6 (5) ◽

pp. 1237-1257 ◽

Author(s):

Giovanni P. Galdi ◽

Keyword(s):

Periodic Solutions ◽

Existence And Uniqueness ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Periodic Solutions ◽

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Existence and uniqueness of time-periodic solutions with finite kinetic energy for the Navier–Stokes equations in {\mathbb R}^3

Nonlinearity ◽

10.1088/0951-7715/25/1/37 ◽

2011 ◽

Vol 25 (1) ◽

pp. 37-55 ◽

Author(s):

Ana Leonor Silvestre

Keyword(s):

Kinetic Energy ◽

Periodic Solutions ◽

Existence And Uniqueness ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Periodic Solutions ◽

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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 ◽

Author(s):

Giovanni P. Galdi ◽

Mads Kyed

Keyword(s):

Periodic Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Periodic Solutions ◽

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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 ◽

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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 ◽

Author(s):

G. Iooss ◽

A. Mielke

Keyword(s):

Periodic Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Periodic Solutions ◽

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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 ◽

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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 ◽

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 ◽

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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 ◽

Author(s):

Yasushi Taniuchi

Keyword(s):

Periodic Solutions ◽

Stokes Equations ◽

Unbounded Domains ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Periodic Solutions ◽

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Time-periodic solutions of dissipative ε-approximations for modified Navier-Stokes equations

Journal of Mathematical Sciences ◽

10.1007/bf02405817 ◽

1997 ◽

Vol 83 (2) ◽

pp. 233-243

Author(s):

A. A. Kotsiolis

Keyword(s):

Periodic Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Periodic Solutions ◽

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Time-Periodic Solutions of the Navier-Stokes Equations in Unbounded Cylindrical Domains – Leray's Problem for Periodic Flows

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-005-0376-3 ◽

2005 ◽

Vol 178 (3) ◽

pp. 301-325 ◽

Author(s):

H. Beirão da Veiga

Keyword(s):

Periodic Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Periodic Flows ◽

Cylindrical Domains ◽

Time Periodic Solutions ◽

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Existence of time-periodic solutions to the Navier–Stokes equations around a moving body

Pacific Journal of Mathematics ◽

10.2140/pjm.2006.223.251 ◽

2006 ◽

Vol 223 (2) ◽

pp. 251-267 ◽

Author(s):

Giovanni Galdi ◽

Ana Silvestre

Keyword(s):

Periodic Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Moving Body ◽

Time Periodic Solutions ◽

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