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

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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… Click to show full abstract

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 |x|h∈L1(R+n) are also considered.

Keywords: space; decay rate; space time; half space; rate stokes

Journal Title: Journal of Differential Equations
Year Published: 2017

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