Notes on the space-time decay rate of the Stokes flows in the half space

作者：Chang Tongkeun; Jin Bum Ja^*

来源：Journal of Differential Equations, 2017, 263(1): 240-263.

DOI：10.1016/j.jde.2017.02.034

In this paper, a Stokes equations in the half space R-+(n), n >= 2 has been considered. We derive a rapid decay rate of the Stokes flow in space and time when the initial data decreases fast enough and satisfies some additional condition. Initial data decreasing too slowly to be vertical bar x vertical bar h is an element of L-1 (R-+(n)) are also considered.

• 出版日期2017-7-5