Stationary solutions of the Navier-Stokes equations in the spaces Lp(ℝn)

被引：0

作者：

D. L. Vaksman

L. I. Sazonov

机构：

[1] South Federal University,

来源：

Differential Equations | 2014年 / 50卷

关键词：

Stationary Solution; Convolution Operator; Stokes System; Small Solution; Viscous Incompressible Fluid;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the existence and regularity of solutions of the stationary Navier-Stokes system in the spaces Lp(ℝn). The use of the theory of multipliers of the Fourier transform permits one to single out a class of spaces in which there exists a unique “small” solution. We study the regularity of solutions in these spaces without the smallness assumption.

引用

页码：47 / 56

页数：9

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