Fractional Navier–Stokes regularity criterion involving the positive part of the intermediate eigenvalue of the strain matrix

2021 ◽  
Vol 62 (10) ◽  
pp. 101511
Author(s):  
Fan Wu
Keyword(s):  
Regularity Criterion ◽  
Navier Stokes ◽  
Positive Part

scholarly journals A Regularity Criterion for Positive Part of Radial Component in the Case of Axially Symmetric Navier-Stokes Equations

2015 ◽  
Vol 48 (1) ◽  
Author(s):  
Adam Kubica
Keyword(s):  
Stokes Equations ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Regularity Criterion ◽  
Radial Component ◽  
Navier Stokes ◽  
Axially Symmetric ◽  
Positive Part ◽  
Navier Stokes Equations ◽  
Three Dimensional Space

AbstractWe examine the conditional regularity of the solutions of Navier-Stokes equations in the entire three-dimensional space under the assumption that the data are axially symmetric. We show that if positive part of the radial component of velocity satisfies a weighted Serrin type condition and in addition angular component satisfies some condition, then the solution is regular.

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