Estimates of solutions of a general initial-boundary-value problem for the linear nonstationary system of Navier-Stokes equations in a half-space
Estimates of solutions of a general initial-boundary-value problem for the linear nonstationary system of Navier-Stokes equations in a half-space
复制标题
半空间纳维-斯托克斯方程线性非平稳系统一般初始边值问题解的估计
DOI：
--
复制
发表时间：
1983
期刊：
影响因子：
--
通讯作者：
I. Mogilevskii
中科院分区：
文献类型：
--
作者：
I. Mogilevskii
在半空间X ~ 3>0中，考虑Stokes方程组的初边值问题，其中边界条件由一个3×4的任意矩阵微分算子给出.证明了在对该算子的某些限制下，解满足Wρ2的范数的强制估计。
In the half-spaceX3>0 one considers the initial-boundary-value problem for the Stokes system in which the boundary conditions are given by means of an arbitrary matricial differential operator of size 3×4. One proves that, under certain restrictions on this operator, the solution satisfies coercive estimates in the norms of Wρ2ℓ,ℓ.