On energy inequality, smoothness and large time behavior inL2 for weak solutions of the Navier-Stokes equations in exterior domains

On energy inequality, smoothness and large time behavior inL2 for weak solutions of the Navier-Stokes equations in exterior domains
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DOI:
10.1007/bf01161636
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发表时间:
1988-12
影响因子:
0.8
通讯作者:
Tetsuro Miyakawa;H. Sohr
Tetsuro Miyakawa;H. Sohr
中科院分区:
数学2区
文献类型:
--
作者:
Tetsuro Miyakawa;H. Sohr

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设O是R”(n= 3,4)中具有光滑边界f2的外区域.在时空柱~ 2 x [0,co)上考虑非定常Navier-Stokes问题:ut-Au+ u. Vu+ Vp= f in~ 2x(0,ω)
Let O be an exterior domain in R"(n= 3, 4) with smooth boundary~ f2. On the space-time cylinder~ 2 x [0, co) we consider the nonstationary Navier-Stokes problem: ut-Au+ u. Vu+ Vp= f in~ 2x (0, co)