Global well-posedness to the incompressible Navier–Stokes equations with damping
We study the Cauchy problem of the 3D Navier–Stokes equations with nonlinear damping term $\alpha|\mathbf{u}|^{\beta-1}\mathbf{u}\ (\alpha>0\ \text{and}\ \beta\geq1)$. It is shown that the strong solution exists globally for any $\beta\geq1$.
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| Format: | Article |
| Language: | English |
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University of Szeged
2017-09-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5870 |