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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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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On energy inequality, smoothness and large time behavior inL 2 for weak solutions of the Navier-Stokes equations in exterior domains

Mathematische Zeitschrift ◽

10.1007/bf01161636 ◽

1988 ◽

Vol 199 (4) ◽

pp. 455-478 ◽

Author(s):

Tetsuro Miyakawa ◽

Hermann Sohr

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Energy Inequality ◽

Large Time Behavior ◽

Navier Stokes ◽

Time Behavior ◽

Exterior Domains ◽

Navier Stokes Equations

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A New Energy Inequality and Partial Regularity for weak Solutions of Navier—Stokes Equations

Journal of Mathematical Fluid Mechanics ◽

10.1007/pl00000963 ◽

2001 ◽

Vol 3 (1) ◽

pp. 40-56 ◽

Author(s):

T. Nagasawa

Keyword(s):

Weak Solutions ◽

Partial Regularity ◽

Stokes Equations ◽

Energy Inequality ◽

Navier Stokes ◽

Navier Stokes Equations ◽

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Weak solutions to the Cauchy problem for the Navier-Stokes equations satisfying the local energy inequality

Nonlinear Equations and Spectral Theory - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/220/07 ◽

2007 ◽

pp. 141-164 ◽

Author(s):

N. Kikuchi ◽

G. Seregin

Keyword(s):

Cauchy Problem ◽

Weak Solutions ◽

Stokes Equations ◽

Energy Inequality ◽

Navier Stokes ◽

Local Energy ◽

Navier Stokes Equations ◽

The Cauchy Problem

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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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Weak solutions of the Navier–Stokes equations with non-zero boundary values in an exterior domain satisfying the strong energy inequality

Journal of Differential Equations ◽

10.1016/j.jde.2014.01.029 ◽

2014 ◽

Vol 256 (7) ◽

pp. 2633-2658 ◽

Author(s):

Reinhard Farwig ◽

Hideo Kozono

Keyword(s):

Weak Solutions ◽

Exterior Domain ◽

Stokes Equations ◽

Energy Inequality ◽

Navier Stokes ◽

Boundary Values ◽

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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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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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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