Some results on the asymptotic behavior of Hopf weak solutions to the Navier-Stokes equations in unbounded domains

Mathematische Zeitschrift ◽

10.1007/bf02571780 ◽

1992 ◽

Vol 210 (1) ◽

pp. 1-22 ◽

Author(s):

Paolo Maremonti

Keyword(s):

Asymptotic Behavior ◽

Weak Solutions ◽

Stokes Equations ◽

Unbounded Domains ◽

Navier Stokes ◽

Navier Stokes Equations

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Algebraic decay of weak solutions to 3D Navier-Stokes equations in general unbounded domains

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.124300 ◽

2020 ◽

Vol 491 (1) ◽

pp. 124300

Author(s):

Zhaoxia Liu

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Unbounded Domains ◽

Navier Stokes ◽

Algebraic Decay ◽

Navier Stokes Equations ◽

General Unbounded Domains

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Monotonic decreasing and asymptotic behavior of the kinetic energy for weak solutions of the Navier-Stokes equations in exterior domains

Archive for Rational Mechanics and Analysis ◽

10.1007/bf00279866 ◽

1986 ◽

Vol 94 (3) ◽

pp. 253-266 ◽

Author(s):

Giovanni P. Galdi ◽

Paolo Maremonti

Keyword(s):

Asymptotic Behavior ◽

Kinetic Energy ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Exterior Domains ◽

Navier Stokes Equations

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On the energy inequality for weak solutions to the Navier–Stokes equations of compressible fluids on unbounded domains

Nonlinear Analysis ◽

10.1016/j.na.2015.07.031 ◽

2015 ◽

Vol 128 ◽

pp. 136-148 ◽

Author(s):

Filippo Dell’Oro ◽

Eduard Feireisl

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Energy Inequality ◽

Unbounded Domains ◽

Compressible Fluids ◽

Navier Stokes ◽

Navier Stokes Equations

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On partial regularity of suitable weak solutions to the Navier–Stokes equations in unbounded domains

manuscripta mathematica ◽

10.1007/s00229-007-0163-6 ◽

2008 ◽

Vol 125 (4) ◽

pp. 471-493

Author(s):

Tomoyuki Suzuki

Keyword(s):

Weak Solutions ◽

Partial Regularity ◽

Stokes Equations ◽

Unbounded Domains ◽

Navier Stokes ◽

Suitable Weak Solutions ◽

Navier Stokes Equations

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Epochs of regularity for weak solutions of the Navier-Stokes equations in unbounded domains

Tohoku Mathematical Journal ◽

10.2748/tmj/1178228031 ◽

1988 ◽

Vol 40 (2) ◽

pp. 293-313 ◽

Author(s):

John G. Heywood

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Unbounded Domains ◽

Navier Stokes ◽

Navier Stokes Equations

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On large time behavior of the total kinetic energy for weak solutions of the Navier-Stokes equations in unbounded domains

The Navier-Stokes Equations Theory and Numerical Methods - Lecture Notes in Mathematics ◽

10.1007/bfb0086056 ◽

1990 ◽

pp. 73-83

Author(s):

Wolfgang Borchers ◽

Tetsuro Miyakawa

Keyword(s):

Kinetic Energy ◽

Weak Solutions ◽

Stokes Equations ◽

Unbounded Domains ◽

Large Time Behavior ◽

Total Kinetic Energy ◽

Navier Stokes ◽

Time Behavior ◽

Navier Stokes Equations

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Global existence and asymptotic behavior of weak solutions to the 1D compressible Navier–Stokes equations with degenerate viscosity coefficient

Asymptotic Analysis ◽

10.3233/asy-2008-0902 ◽

2008 ◽

Vol 60 (1-2) ◽

pp. 101-123 ◽

Author(s):

Zhenhua Guo ◽

Song Jiang ◽

Feng Xie

Keyword(s):

Asymptotic Behavior ◽

Global Existence ◽

Weak Solutions ◽

Stokes Equations ◽

Viscosity Coefficient ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Degenerate Viscosity

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Asymptotic behavior of weak solutions to the damped Navier-Stokes equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2019.04.068 ◽

2019 ◽

Vol 477 (2) ◽

pp. 1009-1018 ◽

Author(s):

Huan Yu ◽

Xiaoxin Zheng

Keyword(s):

Asymptotic Behavior ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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Approximation of weak solutions of the Navier-Stokes equations in unbounded domains

The Navier-Stokes Equations II — Theory and Numerical Methods - Lecture Notes in Mathematics ◽

10.1007/bfb0090340 ◽

1992 ◽

pp. 161-166

Author(s):

Michael Wiegner

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Unbounded Domains ◽

Navier Stokes ◽

Navier Stokes Equations

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Monotonic Decreasing and Asymptotic Behavior of the Kinetic Energy for Weak Solutions of the Navier-Stokes Equations in Exterior Domains

Analysis and Continuum Mechanics ◽

10.1007/978-3-642-83743-2_15 ◽

1989 ◽

pp. 277-290

Author(s):

Giovanni P. Galdi ◽

Paolo Maremonti

Keyword(s):

Asymptotic Behavior ◽

Kinetic Energy ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Exterior Domains ◽

Navier Stokes Equations

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