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

共 50 条

[41] RESONANCE AND THE STATIONARY NAVIER-STOKES EQUATIONS
SHAPIRO, VL
PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS, 1986, 45 : 359 - 369
[42] Ill-posedness of the stationary Navier-Stokes equations in Besov spaces
Tsurumi, Hiroyuki
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 475 (02) : 1732 - 1743
[43] The stationary Navier-Stokes equations in weighted Bessel-potential spaces
Schumacher, Katrin
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2009, 61 (01) : 1 - 38
[44] LP-solutions for stochastic Navier-Stokes equations with jump noise
Zhu, Jiahui
Brzeniak, Zdzislaw
Liu, Wei
STATISTICS & PROBABILITY LETTERS, 2019, 155
[45] Weak Morrey spaces and strong solutions to the Navier-Stokes equations
Chang-xing Miao
Bao-quan Yuan
Science in China Series A: Mathematics, 2007, 50 : 1401 - 1417
[46] EXISTENCE OF WEAK SOLUTIONS FOR THE NAVIER-STOKES EQUATIONS WITH INITIAL DATA IN LP
CALDERON, CP
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 318 (01) : 179 - 207
[47] Regularity and stability for the solutions of the Navier-Stokes equations in Lorentz spaces
Departamento de Matematica, La Plata, Argentina
Nonlinear Anal Theory Methods Appl, 6 (747-764):
[48] Asymptotic expansion in Gevrey spaces for solutions of Navier-Stokes equations
Hoang, Luan T.
Martinez, Vincent R.
ASYMPTOTIC ANALYSIS, 2017, 104 (3-4) : 167 - 190
[49] Weak Morrey spaces and strong solutions to the Navier-Stokes equations
Chang-xing Miao
Bao-Quan Yuan
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2007, 50 (10): : 1401 - 1417
[50] Weak Morrey spaces and strong solutions to the Navier-Stokes equations
Chang-xing MIAO~(1+) Bao-quan YUAN~2 ~1 Institute of Applied Physics and Computational Mathematics
~2 College of Mathematics and Informatics
ScienceinChina(SeriesA:Mathematics), 2007, (10) : 1401 - 1417

← 1 2 3 4 5 →