Weak and strong solutions for the incompressible Navier–Stokes equations with damping
Weak and strong solutions for the incompressible Navier–Stokes equations with damping
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DOI：
10.1016/j.jmaa.2008.01.041
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发表时间：
2008-07
影响因子：
1.3
通讯作者：
Xiaojing Cai;Q. Jiu
中科院分区：
文献类型：
--
作者：
Xiaojing Cai;Q. Jiu
本文证明了具阻尼项的N-S方程α|u|β−1u(α>；0)的柯西问题对任意β⩾1都有整体弱解，对任何β⩾7/2都有整体强解，对任何7/2⩽β⩽5都有唯一的强解。
In this paper, we show that the Cauchy problem of the Navier–Stokes equations with damping α|u|β−1u(α>0) has global weak solutions for any β⩾1, global strong solution for any β⩾7/2 and that the strong solution is unique for any 7/2⩽β⩽5.