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：
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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.
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页码：47 / 56
页数：9
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