Conditional regularity of very weak solutions to the Navier-Stokes-Fourier system

Recent Advances in Partial Differential Equations and Applications - Contemporary Mathematics ◽

10.1090/conm/666/13245 ◽

2016 ◽

pp. 179-199 ◽

Author(s):

Eduard Feireisl ◽

Yongzhong Sun

Keyword(s):

Weak Solutions ◽

Navier Stokes ◽

Very Weak Solutions

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Erratum to: Existence and Regularity of Very Weak Solutions of the Stationary Navier–Stokes Equations

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-010-0310-1 ◽

2010 ◽

Vol 196 (3) ◽

pp. 1079-1080 ◽

Author(s):

Hyunseok Kim

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Very Weak Solutions ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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Very weak solutions of the stationary Navier–Stokes equations for an incompressible fluid past obstacles

Nonlinear Analysis ◽

10.1016/j.na.2016.08.017 ◽

2016 ◽

Vol 147 ◽

pp. 145-168 ◽

Author(s):

Dugyu Kim ◽

Hyunseok Kim

Keyword(s):

Incompressible Fluid ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Very Weak Solutions ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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On very weak solutions of the stationary Navier–Stokes equations

ANNALI DELL UNIVERSITA DI FERRARA ◽

10.1007/s11565-009-0077-1 ◽

2009 ◽

Vol 55 (2) ◽

pp. 279-287

Author(s):

Hyunseok Kim

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Very Weak Solutions ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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On the space–time regularity of C(0,T;Ln)-very weak solutions to the Navier–Stokes equations

Nonlinear Analysis ◽

10.1016/j.na.2004.05.013 ◽

2004 ◽

Vol 58 (5-6) ◽

pp. 703-717 ◽

Author(s):

Luigi C Berselli ◽

Giovanni P Galdi

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Very Weak Solutions ◽

Navier Stokes Equations

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Corrigendum: On the space–time regularity of C(0,T;Ln)—very weak solutions to the Navier–Stokes equations

Nonlinear Analysis ◽

10.1016/j.na.2005.05.034 ◽

2005 ◽

Vol 63 (4) ◽

pp. 642

Author(s):

Luigi C. Berselli ◽

Giovanni P. Galdi

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Very Weak Solutions ◽

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 ◽

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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Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/1180135504 ◽

2007 ◽

Vol 59 (1) ◽

pp. 127-150 ◽

Author(s):

Reinhard FARWIG ◽

Hideo KOZONO ◽

Hermann SOHR

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Very Weak Solutions ◽

Exterior Domains ◽

Navier Stokes Equations ◽

Nonhomogeneous Data

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Very weak solutions to the rotating Stokes, Oseen and Navier-Stokes problems in weighted spaces

Mathematische Nachrichten ◽

10.1002/mana.201400052 ◽

2016 ◽

Vol 289 (11-12) ◽

pp. 1466-1487

Author(s):

S. Kračmar ◽

M. Krbec ◽

Š. Nečasová ◽

P. Penel ◽

K. Schumacher

Keyword(s):

Weak Solutions ◽

Weighted Spaces ◽

Navier Stokes ◽

Very Weak Solutions ◽

Stokes Problems

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Existence of steady very weak solutions to Navier-Stokes equations with non-Newtonian stress tensors

Journal of Differential Equations ◽

10.1016/j.jde.2020.12.038 ◽

2021 ◽

Vol 279 ◽

pp. 10-45

Author(s):

Claudiu Mîndrilă ◽

Sebastian Schwarzacher

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Very Weak Solutions ◽

Navier Stokes Equations ◽

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On the uniqueness of bounded very weak solutions to the Navier–Stokes Cauchy problem

Applicable Analysis ◽

10.1080/00036811.2010.483429 ◽

2011 ◽

Vol 90 (1) ◽

pp. 125-139 ◽

Author(s):

P. Maremonti

Keyword(s):

Cauchy Problem ◽

Weak Solutions ◽

Navier Stokes ◽

Very Weak Solutions

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