Blow up criterion for the 2D full compressible Navier–Stokes equations involving temperature in critical spaces

Jie Fan; Quansen Jiu; Yanqing Wang; Yuelong Xiao

doi:10.1063/5.0024184

Blow up criterion for the 2D full compressible Navier–Stokes equations involving temperature in critical spaces

Journal of Mathematical Physics ◽

10.1063/5.0024184 ◽

2021 ◽

Vol 62 (5) ◽

pp. 051503

Author(s):

Jie Fan ◽

Quansen Jiu ◽

Yanqing Wang ◽

Yuelong Xiao

Keyword(s):

Blow Up ◽

Stokes Equations ◽

Navier Stokes ◽

Critical Spaces ◽

Navier Stokes Equations ◽

Blow Up Criterion

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Blow-Up Criterion for 3D Navier-Stokes Equations and Landau-Lifshitz System in a Bounded Domain

Recent Developments of Mathematical Fluid Mechanics - Advances in Mathematical Fluid Mechanics ◽

10.1007/978-3-0348-0939-9_10 ◽

2016 ◽

pp. 175-182

Author(s):

Jishan Fan ◽

Tohru Ozawa

Keyword(s):

Bounded Domain ◽

Blow Up ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Blow Up Criterion

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A Beale–Kato–Majda blow-up criterion for the 3-D compressible Navier–Stokes equations

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2010.08.001 ◽

2011 ◽

Vol 95 (1) ◽

pp. 36-47 ◽

Cited By ~ 126

Author(s):

Yongzhong Sun ◽

Chao Wang ◽

Zhifei Zhang

Keyword(s):

Blow Up ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Blow Up Criterion

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A blow-up criterion for classical solutions to the compressible Navier-Stokes equations

Science China Mathematics ◽

10.1007/s11425-010-0042-6 ◽

2010 ◽

Vol 53 (3) ◽

pp. 671-686 ◽

Cited By ~ 53

Author(s):

XiangDi Huang ◽

ZhouPing Xin

Keyword(s):

Blow Up ◽

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

Blow Up Criterion

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On the blow-up criterion of 3D Navier–Stokes equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2010.06.007 ◽

2010 ◽

Vol 371 (2) ◽

pp. 719-727 ◽

Cited By ~ 17

Author(s):

Jamel Benameur

Keyword(s):

Blow Up ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Blow Up Criterion

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Some remarks on the paper “On the blow up criterion of 3D Navier–Stokes equations” by J. Benameur

Comptes Rendus Mathematique ◽

10.1016/j.crma.2014.09.012 ◽

2014 ◽

Vol 352 (11) ◽

pp. 913-915 ◽

Cited By ~ 5

Author(s):

Pablo Braz e Silva ◽

Wilberclay G. Melo ◽

Paulo R. Zingano

Keyword(s):

Blow Up ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Blow Up Criterion

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Remark on the blow-up criterion of strong solutions to the navier-stokes equations in multiplier spaces

Acta Mathematica Scientia ◽

10.1016/s0252-9602(10)60133-6 ◽

2010 ◽

Vol 30 (5) ◽

pp. 1413-1418

Author(s):

Sadek Gala

Keyword(s):

Blow Up ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Blow Up Criterion

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A Note on Blow-up Criterion of Strong Solutions for the 3D Inhomogeneous Incompressible Navier-Stokes Equations with Vacuum

Mathematical Physics Analysis and Geometry ◽

10.1007/s11040-015-9193-6 ◽

2015 ◽

Vol 18 (1) ◽

Cited By ~ 1

Author(s):

Zhuan Ye ◽

Xiaojing Xu

Keyword(s):

Blow Up ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Blow Up Criterion

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A blow-up criterion of spherically symmetric strong solutions to 3d compressible navier-stokes equations with free boundary

Acta Mathematica Scientia ◽

10.1016/s0252-9602(16)30060-1 ◽

2016 ◽

Vol 36 (4) ◽

pp. 1153-1166

Author(s):

Huihui KONG ◽

Hai-Liang LI ◽

Xingwei ZHANG

Keyword(s):

Free Boundary ◽

Blow Up ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Spherically Symmetric ◽

Navier Stokes Equations ◽

Blow Up Criterion

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A note on the blow-up criterion for the compressible isentropic Navier–Stokes equations with vacuum

Applied Mathematics Letters ◽

10.1016/j.aml.2012.12.011 ◽

2013 ◽

Vol 26 (5) ◽

pp. 584-588

Author(s):

Shengquan Liu ◽

Jianwen Zhang

Keyword(s):

Blow Up ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Blow Up Criterion

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Blow-up criterion of strong solutions to the Navier–Stokes equations in Besov spaces with negative indices

Journal of Differential Equations ◽

10.1016/j.jde.2007.07.009 ◽

2007 ◽

Vol 242 (1) ◽

pp. 1-10 ◽

Cited By ~ 12

Author(s):

Baoquan Yuan ◽

Bo Zhang

Keyword(s):

Besov Spaces ◽

Blow Up ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Blow Up Criterion

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