A new regularity criterion for the Navier-Stokes equations in terms of the two components of the velocity
This paper establishes a new regularity criterion for the Navier-Stokes equation in terms of two velocity components. We show that if the two velocity components $\widetilde{u}=\left( u_{1},u_{2},0\right) $ satisfy \begin{equation*} \int_{0}^{T}\Vert \tilde{u}(s)\Vert _{\dot{B}_{\infty ,\infty }...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2016-05-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4452 |