A New Regularity Criterion for the 3D Navier-Stokes Equations via Two Entries of the Velocity Gradient Tensor

A New Regularity Criterion for the 3D Navier-Stokes Equations via Two Entries of the Velocity Gradient Tensor

We consider the Cauchy problem for the incompressible Navier-Stokes equations in R 3 , and provide a new regularity criterion involving only two entries of the Jacobian matrix of the velocity field.

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Veröffentlicht in:Acta applicandae mathematicae 2014-02, Vol.129 (1), p.175-181
Hauptverfasser: Zhang, Zujin, Zhong, Dingxing, Hu, Lin
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Applied mathematics
Calculus of Variations and Optimal Control
Optimization
Cauchy problem
Cauchy problems
Computational Mathematics and Numerical Analysis
Dimensional analysis
Inequality
Mathematical models
Mathematics
Mathematics and Statistics
Navier-Stokes equations
Partial Differential Equations
Probability Theory and Stochastic Processes
Studies
Velocity
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Beschreibung
Zusammenfassung:We consider the Cauchy problem for the incompressible Navier-Stokes equations in R 3 , and provide a new regularity criterion involving only two entries of the Jacobian matrix of the velocity field.
ISSN:0167-8019
1572-9036
DOI:10.1007/s10440-013-9834-3