Partial Regularity of Solutions to the Four-Dimensional Navier-Stokes Equations at the First Blow-up Time

Communications in Mathematical Physics ◽

10.1007/s00220-007-0259-6 ◽

2007 ◽

Vol 273 (3) ◽

pp. 785-801 ◽

Author(s):

Hongjie Dong ◽

Dapeng Du

Keyword(s):

Partial Regularity ◽

Blow Up ◽

Stokes Equations ◽

Regularity Of Solutions ◽

Navier Stokes ◽

Navier Stokes Equations

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Partial regularity of solutions to the fractional Navier-Stokes equations

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2016033 ◽

2016 ◽

Vol 36 (10) ◽

pp. 5309-5322 ◽

Author(s):

Yukang Chen ◽

Changhua Wei

Keyword(s):

Partial Regularity ◽

Stokes Equations ◽

Regularity Of Solutions ◽

Navier Stokes ◽

Navier Stokes Equations

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Partial regularity of solutions to the Navier-Stokes equations

Pacific Journal of Mathematics ◽

10.2140/pjm.1976.66.535 ◽

1976 ◽

Vol 66 (2) ◽

pp. 535-552 ◽

Author(s):

Vladimir Scheffer

Keyword(s):

Partial Regularity ◽

Stokes Equations ◽

Regularity Of Solutions ◽

Navier Stokes ◽

Navier Stokes Equations

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Partial regularity of solutions to the four-dimensional Navier-Stokes equations

Dynamics of Partial Differential Equations ◽

10.4310/dpde.2014.v11.n1.a3 ◽

2014 ◽

Vol 11 (1) ◽

pp. 53-69 ◽

Author(s):

Hongjie Dong ◽

Xumin Gu

Keyword(s):

Partial Regularity ◽

Stokes Equations ◽

Regularity Of Solutions ◽

Navier Stokes ◽

Navier Stokes Equations

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A new proof of partial regularity of solutions to Navier-Stokes equations

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-007-6001-4 ◽

2007 ◽

Vol 14 (5-6) ◽

pp. 753-785 ◽

Author(s):

Alexis F. Vasseur

Keyword(s):

Partial Regularity ◽

Stokes Equations ◽

Regularity Of Solutions ◽

Navier Stokes ◽

Navier Stokes Equations

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Blow-up and Global Smooth Solutions for Incompressible Three-Dimensional Navier–Stokes Equations

Chinese Physics Letters ◽

10.1088/0256-307x/25/6/052 ◽

2008 ◽

Vol 25 (6) ◽

pp. 2115-2117 ◽

Author(s):

Guo Bo-Ling ◽

Yang Gan-Shan ◽

Pu Xue-Ke

Keyword(s):

Blow Up ◽

Stokes Equations ◽

Three Dimensional ◽

Navier Stokes ◽

Smooth Solutions ◽

Navier Stokes Equations ◽

Global Smooth Solutions

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Partial Regularity of Weak Solutions of the Viscoelastic Navier--Stokes Equations with Damping

SIAM Journal on Mathematical Analysis ◽

10.1137/120875041 ◽

2013 ◽

Vol 45 (2) ◽

pp. 495-517 ◽

Author(s):

Ryan Hynd

Keyword(s):

Weak Solutions ◽

Partial Regularity ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Regularity Of Weak Solutions

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On blow-up space jets for the Navier–Stokes equations in R3 with convergence to Euler equations

Journal of Mathematical Physics ◽

10.1063/1.3012382 ◽

2008 ◽

Vol 49 (11) ◽

pp. 113101 ◽

Author(s):

V. A. Galaktionov

Keyword(s):

Euler Equations ◽

Blow Up ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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Partial Regularity for the 3D Navier–Stokes Equations

Lecture Notes in Mathematics - Mathematical Analysis of the Navier-Stokes Equations ◽

10.1007/978-3-030-36226-3_2 ◽

2020 ◽

pp. 147-192

Author(s):

James C. Robinson

Keyword(s):

Partial Regularity ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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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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Blow up criteria for the compressible Navier–Stokes equations

Mathematical Analysis in Fluid Mechanics - Contemporary Mathematics ◽

10.1090/conm/710/14364 ◽

2018 ◽

pp. 65-84 ◽

Author(s):

Hi Choe ◽

Minsuk Yang

Keyword(s):

Blow Up ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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