scholarly journals On possible isolated blow-up phenomena and regularity criterion of the 3D Navier-Stokes equation along the streamlines

2012 ◽  
Vol 19 (3) ◽  
pp. 211-242 ◽  
Author(s):  
Chi Hin Chan ◽  
Tsuyoshi Yoneda
Keyword(s):  
Stokes Equation ◽  
Blow Up ◽  
Regularity Criterion ◽  
Navier Stokes ◽  
Navier Stokes Equation

On lower bounds for possible blow-up solutions to the periodic Navier-Stokes equation

2014 ◽  
Vol 55 (3) ◽  
pp. 033101 ◽  
Author(s):  
Jean C. Cortissoz ◽  
Julio A. Montero ◽  
Carlos E. Pinilla
Keyword(s):  
Stokes Equation ◽  
Lower Bounds ◽  
Blow Up ◽  
Navier Stokes ◽  
Navier Stokes Equation

Wavelet-distributed approximating functional method for solving the Navier-Stokes equation

1998 ◽  
Vol 115 (1) ◽  
pp. 18-24 ◽  
Author(s):  
G.W. Wei ◽  
D.S. Zhang ◽  
S.C. Althorpe ◽  
D.J. Kouri ◽  
D.K. Hoffman
Keyword(s):  
Stokes Equation ◽  
Functional Method ◽  
Navier Stokes ◽  
Navier Stokes Equation

scholarly journals Generalized Navier–Stokes Equations and Dynamics of Plane Molecular Media

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 288
Author(s):  
Alexei Kushner ◽  
Valentin Lychagin
Keyword(s):  
Carbon Dioxide ◽  
Internal Structure ◽  
Stokes Equation ◽  
Hydrogen Cyanide ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equation ◽  
Navier Stokes Equations

The first analysis of media with internal structure were done by the Cosserat brothers. Birkhoff noted that the classical Navier–Stokes equation does not fully describe the motion of water. In this article, we propose an approach to the dynamics of media formed by chiral, planar and rigid molecules and propose some kind of Navier–Stokes equations for their description. Examples of such media are water, ozone, carbon dioxide and hydrogen cyanide.

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