Navier--Stokes--Fourier System on Unbounded Domains: Weak Solutions, Relative Entropies, Weak-Strong Uniqueness

Didier Jesslé; Bum Ja Jin; Antonín Novotný

doi:10.1137/120874576

Navier--Stokes--Fourier System on Unbounded Domains: Weak Solutions, Relative Entropies, Weak-Strong Uniqueness

SIAM Journal on Mathematical Analysis ◽

10.1137/120874576 ◽

2013 ◽

Vol 45 (3) ◽

pp. 1907-1951 ◽

Cited By ~ 14

Author(s):

Didier Jesslé ◽

Bum Ja Jin ◽

Antonín Novotný

Keyword(s):

Weak Solutions ◽

Unbounded Domains ◽

Navier Stokes ◽

Strong Uniqueness

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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 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 ◽

Cited By ~ 2

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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Very weak solutions to the Navier–Stokes system in general unbounded domains

Journal of Evolution Equations ◽

10.1007/s00028-014-0258-y ◽

2014 ◽

Vol 15 (2) ◽

pp. 253-279 ◽

Cited By ~ 6

Author(s):

Reinhard Farwig ◽

Paul Felix Riechwald

Keyword(s):

Weak Solutions ◽

Stokes System ◽

Unbounded Domains ◽

Navier Stokes ◽

Very Weak Solutions ◽

General Unbounded Domains

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Regularity criteria for weak solutions of the Navier-Stokes system in general unbounded domains

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2016.9.157 ◽

2016 ◽

Vol 9 (1) ◽

pp. 157-172 ◽

Cited By ~ 2

Author(s):

Reinhard Farwig ◽

◽

Paul Felix Riechwald ◽

Keyword(s):

Weak Solutions ◽

Stokes System ◽

Unbounded Domains ◽

Regularity Criteria ◽

Navier Stokes ◽

General Unbounded Domains

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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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Relative Entropies, Suitable Weak Solutions, and Weak-Strong Uniqueness for the Compressible Navier–Stokes System

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-011-0091-9 ◽

2012 ◽

Vol 14 (4) ◽

pp. 717-730 ◽

Cited By ~ 101

Author(s):

Eduard Feireisl ◽

Bum Ja Jin ◽

Antonín Novotný

Keyword(s):

Weak Solutions ◽

Stokes System ◽

Navier Stokes ◽

Strong Uniqueness ◽

Suitable Weak Solutions

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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 ◽

Cited By ~ 8

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 ◽

Large Time ◽

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 ◽

Cited By ~ 10

Author(s):

Paolo Maremonti

Keyword(s):

Asymptotic Behavior ◽

Weak Solutions ◽

Stokes Equations ◽

Unbounded Domains ◽

Navier Stokes ◽

Navier Stokes Equations

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Very weak solutions and the Fujita-Kato approach to the Navier-Stokes system in general unbounded domains

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-015-0317-2 ◽

2015 ◽

Vol 22 (5) ◽

pp. 1143-1165 ◽

Cited By ~ 2

Author(s):

Reinhard Farwig ◽

Paul Felix Riechwald

Keyword(s):

Weak Solutions ◽

Stokes System ◽

Unbounded Domains ◽

Navier Stokes ◽

Very Weak Solutions ◽

General Unbounded Domains

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