In this paper, we consider the matrix of the Green function of the Stokes equations for a half space. To the best of author’s knowledge, the matrix of the Green function has been obtained for a half space in [Formula: see text]. But the matrix of the Green function for a half space in [Formula: see text] has not been obtained. Moreover, the author considers that the form of the matrix of the Green function in [Formula: see text] is irregular.In this paper, we obtain the regular form of the matrix of the Green function of the Stokes equations for a half space in [Formula: see text]. Moreover we obtain the Green representation formula of the Stokes equations for a half space in [Formula: see text].

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半空间的格林函数矩阵和斯托克斯方程的格林表示公式

在本文中，我们考虑半空间的斯托克斯方程的格林函数矩阵。据作者所知，格林函数的矩阵已经在[公式：见正文]中得到了半个空间。但是[公式：见正文]中半空间的格林函数的矩阵还没有得到。此外，作者认为[公式：见正文]中格林函数矩阵的形式是不规则的。在本文中，我们得到了半空间的斯托克斯方程格林函数矩阵的正则形式[公式：见正文]。此外，我们在[公式：见正文]中获得了半空间的斯托克斯方程的格林表示公式。