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 |
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| container_title | Acta applicandae mathematicae |
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| creator | Zhang, Zujin Zhong, Dingxing Hu, Lin |
| description | 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. |
| doi_str_mv | 10.1007/s10440-013-9834-3 |
| format | Article |
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R
3
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| ispartof | Acta applicandae mathematicae, 2014-02, Vol.129 (1), p.175-181 |
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| language | eng |
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| source | Springer Nature - Complete Springer Journals |
| subjects | 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 |
| title | A New Regularity Criterion for the 3D Navier-Stokes Equations via Two Entries of the Velocity Gradient Tensor |
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