SPACE-TIME HOLOMORPHIC TIME-PERIODIC SOLUTIONS OF NAVIER-STOKES EQUATIONS

被引：0

作者：

Tsyganov, Eugene ^{[1
]}

机构：

[1] Bashkir State Univ, Dept Math & Informat Technol, Ufa 450074, Russia

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年

关键词：

Navier-Stokes equations; meromorphic solution;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a concept of space-time holomorphic solutions of partial differential equations and construct a meromorphic solution of Navier-Stokes equations, which can be either space or time periodic.

引用

页数：5

共 50 条

[1] Time-periodic statistical solutions of the Navier-Stokes equations
Fursikov, AV
[J]. TURBULENCE MODELING AND VORTEX DYNAMICS, 1997, 491 : 123 - 147
[2] EXISTENCE AND STABILITY OF TIME-PERIODIC SOLUTIONS TO THE NAVIER-STOKES EQUATIONS IN THE WHOLE SPACE
MAREMONTI, P
[J]. NONLINEARITY, 1991, 4 (02) : 503 - 529
[3] ON SOME CLASSES OF TIME-PERIODIC SOLUTIONS FOR THE NAVIER-STOKES EQUATIONS IN THE WHOLE SPACE
Lemarie-Rieusset, Pierre Gilles
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2015, 47 (02) : 1022 - 1043
[4] EXISTENCE OF TIME-PERIODIC SOLUTIONS TO INCOMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE WHOLE SPACE
Hu, Xianpeng
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2005,
[5] WEAK TIME-PERIODIC SOLUTIONS TO THE COMPRESSIBLE NAVIER-STOKES EQUATIONS
Cai, Hong
Tan, Zhong
[J]. ACTA MATHEMATICA SCIENTIA, 2016, 36 (02) : 499 - 513
[6] ON A CRITERION FOR APPROXIMATING TIME-PERIODIC SOLUTIONS TO THE NAVIER-STOKES EQUATIONS
TITI, ES
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1991, 312 (01): : 41 - 43
[7] Space-time decay for solutions of the Navier-Stokes equations
Kukavica, I
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2001, 50 : 205 - 222
[8] On the uniqueness of time-periodic solutions to the Navier-Stokes equations in unbounded domains
Taniuchi, Yasushi
[J]. MATHEMATISCHE ZEITSCHRIFT, 2009, 261 (03) : 597 - 615
[9] Time-periodic solutions of dissipative ε-approximations for modified Navier-Stokes equations
A. A. Kotsiolis
[J]. Journal of Mathematical Sciences, 1997, 83 (2) : 233 - 243
[10] THE TIME-PERIODIC SOLUTIONS OF THE NAVIER-STOKES EQUATIONS WITH MIXED BOUNDARY CONDITIONS
Kucera, Petr
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2010, 3 (02): : 325 - 337

← 1 2 3 4 5 →